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¿cómo vas a descomponer esta expresión en fracciones?:
((y+x+z)/(y+z-x))/(1+((y^2+z^2-x^2)/(2*y*z)))
y/((x/(x*c*p+1))+y)
(4*x-8*y)/(3*y-6*x)
((y-x)/(8*x))/((x-y)/(12*y))
Factorizar el polinomio:
y^2-64
-y^2-6*y+9-3*x*y+9*x
-y^2/4-y/2+11/4
y^3+64
Descomponer al cuadrado:
-y^4-7*y^2+2
-y^4-6*y^2-10
y^4+5*y^2-4
-y^4+6*y^2+2
Expresiones idénticas
cos(sqrt(x))/ dos +(uno +tan(x)^ dos)/(cos(x)^ dos + cuatro)+tan(x/ dos)^asin(tres *x)*(tres *log(tan(x/ dos))/sqrt(uno - nueve *x^ dos)+(uno / dos +tan(x/ dos)^ dos / dos)*asin(tres *x)/tan(x/ dos))+sin(sqrt(x))/(dos *sqrt(x))+ dos *cos(x)*sin(x)*tan(x)/(cos(x)^ dos + cuatro)^ dos
coseno de ( raíz cuadrada de (x)) dividir por 2 más (1 más tangente de (x) al cuadrado ) dividir por ( coseno de (x) al cuadrado más 4) más tangente de (x dividir por 2) en el grado ar coseno de eno de (3 multiplicar por x) multiplicar por (3 multiplicar por logaritmo de ( tangente de (x dividir por 2)) dividir por raíz cuadrada de (1 menos 9 multiplicar por x al cuadrado ) más (1 dividir por 2 más tangente de (x dividir por 2) al cuadrado dividir por 2) multiplicar por ar coseno de eno de (3 multiplicar por x) dividir por tangente de (x dividir por 2)) más seno de ( raíz cuadrada de (x)) dividir por (2 multiplicar por raíz cuadrada de (x)) más 2 multiplicar por coseno de (x) multiplicar por seno de (x) multiplicar por tangente de (x) dividir por ( coseno de (x) al cuadrado más 4) al cuadrado
coseno de ( raíz cuadrada de (x)) dividir por dos más (uno más tangente de (x) en el grado dos) dividir por ( coseno de (x) en el grado dos más cuatro) más tangente de (x dividir por dos) en el grado ar coseno de eno de (tres multiplicar por x) multiplicar por (tres multiplicar por logaritmo de ( tangente de (x dividir por dos)) dividir por raíz cuadrada de (uno menos nueve multiplicar por x en el grado dos) más (uno dividir por dos más tangente de (x dividir por dos) en el grado dos dividir por dos) multiplicar por ar coseno de eno de (tres multiplicar por x) dividir por tangente de (x dividir por dos)) más seno de ( raíz cuadrada de (x)) dividir por (dos multiplicar por raíz cuadrada de (x)) más dos multiplicar por coseno de (x) multiplicar por seno de (x) multiplicar por tangente de (x) dividir por ( coseno de (x) en el grado dos más cuatro) en el grado dos
cos(√(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/√(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(√(x))/(2*√(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)2)/(cos(x)2+4)+tan(x/2)asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x2)+(1/2+tan(x/2)2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)2+4)2
cossqrtx/2+1+tanx2/cosx2+4+tanx/2asin3*x*3*logtanx/2/sqrt1-9*x2+1/2+tanx/22/2*asin3*x/tanx/2+sinsqrtx/2*sqrtx+2*cosx*sinx*tanx/cosx2+42
cos(sqrt(x))/2+(1+tan(x)²)/(cos(x)²+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x²)+(1/2+tan(x/2)²/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)²+4)²
cos(sqrt(x))/2+(1+tan(x) en el grado 2)/(cos(x) en el grado 2+4)+tan(x/2) en el grado asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x en el grado 2)+(1/2+tan(x/2) en el grado 2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x) en el grado 2+4) en el grado 2
cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3x)(3log(tan(x/2))/sqrt(1-9x^2)+(1/2+tan(x/2)^2/2)asin(3x)/tan(x/2))+sin(sqrt(x))/(2sqrt(x))+2cos(x)sin(x)tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)2)/(cos(x)2+4)+tan(x/2)asin(3x)(3log(tan(x/2))/sqrt(1-9x2)+(1/2+tan(x/2)2/2)asin(3x)/tan(x/2))+sin(sqrt(x))/(2sqrt(x))+2cos(x)sin(x)tan(x)/(cos(x)2+4)2
cossqrtx/2+1+tanx2/cosx2+4+tanx/2asin3x3logtanx/2/sqrt1-9x2+1/2+tanx/22/2asin3x/tanx/2+sinsqrtx/2sqrtx+2cosxsinxtanx/cosx2+42
cossqrtx/2+1+tanx^2/cosx^2+4+tanx/2^asin3x3logtanx/2/sqrt1-9x^2+1/2+tanx/2^2/2asin3x/tanx/2+sinsqrtx/2sqrtx+2cosxsinxtanx/cosx^2+4^2
cos(sqrt(x)) dividir por 2+(1+tan(x)^2) dividir por (cos(x)^2+4)+tan(x dividir por 2)^asin(3*x)*(3*log(tan(x dividir por 2)) dividir por sqrt(1-9*x^2)+(1 dividir por 2+tan(x dividir por 2)^2 dividir por 2)*asin(3*x) dividir por tan(x dividir por 2))+sin(sqrt(x)) dividir por (2*sqrt(x))+2*cos(x)*sin(x)*tan(x) dividir por (cos(x)^2+4)^2
Expresiones semejantes
cos(sqrt(x))/2-(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2-tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1-tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)-tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))-2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)-(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))-sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2-4)^2
cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2-4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1+9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^arcsin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*arcsin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2
cos(sqrt(x))/2+(1+tan(x)^2)/(cosx^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cosx*sinx*tan(x)/(cosx^2+4)^2
Expresiones con funciones
Coseno cos
cos(t)/(2*sqrt(sin(t)))
cos(t)/(1+sin(t))+cos(t)/(1-sin(t))
cos(sqrt(g/h)*t-sqrt((l+h)/h)*acos((d*(h+l))/(l*(2*z+d))))
cos(pi/2+a)*(-cot(a))/sin(pi/(2-a))
cos(pi/(3+x))+sqrt(3)*sin(x)/2
Raíz cuadrada sqrt
sqrt(x*(2-x))/2+sqrt(x*(2-x))*(1-x)*(3+x)/(2*x*(2-x))
sqrt(-x*(-2+x))*(1-(-1+x)/x-(-1+x)/(-2+x)+(-1+x)^2/(x*(-2+x)))/(x*(-2+x))
sqrt(x^2-4*x+9)*(-5-2*x)/(x^2+5*x+1)^2+(-2+x)/(sqrt(x^2-4*x+9)*(x^2+5*x+1))
sqrt((x+2)/(3*y+1))+((8*x^2+3)/(1-9*y^2))*((x+0,5)/(9*y+3))
sqrt(x^2-2*x)*(1/(sqrt(x^2-2*x))-(-1+x)*(x+1)/(x^2-2*x)^(3/2))/(3*(x+1))
Coseno cos
cos(t)/(2*sqrt(sin(t)))
cos(t)/(1+sin(t))+cos(t)/(1-sin(t))
cos(sqrt(g/h)*t-sqrt((l+h)/h)*acos((d*(h+l))/(l*(2*z+d))))
cos(pi/2+a)*(-cot(a))/sin(pi/(2-a))
cos(pi/(3+x))+sqrt(3)*sin(x)/2
Logaritmo log
log((8*x-4*sqrt(3))/(4*sqrt(3)+8*x))/(4*sqrt(3))
log((6*x-4*sqrt(3))/(4*sqrt(3)+6*x))/(4*sqrt(3))
log((6*x-2*sqrt(6))/(2*sqrt(6)+6*x))/(2*sqrt(6))
log((6*x-2*sqrt(21))/(2*sqrt(21)+6*x))/(2*sqrt(21))
log((6*x-sqrt(13)-1)/(6*x+sqrt(13)-1))/sqrt(13)
Raíz cuadrada sqrt
sqrt(x*(2-x))/2+sqrt(x*(2-x))*(1-x)*(3+x)/(2*x*(2-x))
sqrt(-x*(-2+x))*(1-(-1+x)/x-(-1+x)/(-2+x)+(-1+x)^2/(x*(-2+x)))/(x*(-2+x))
sqrt(x^2-4*x+9)*(-5-2*x)/(x^2+5*x+1)^2+(-2+x)/(sqrt(x^2-4*x+9)*(x^2+5*x+1))
sqrt((x+2)/(3*y+1))+((8*x^2+3)/(1-9*y^2))*((x+0,5)/(9*y+3))
sqrt(x^2-2*x)*(1/(sqrt(x^2-2*x))-(-1+x)*(x+1)/(x^2-2*x)^(3/2))/(3*(x+1))
Seno sin
sin(l)/(1+cos(l))+sin(l)/((1)-cos(l))
sin((n+1)*x)/(2*(1+n))+sin((1-n)*x)/(2*(1-n))
sin(k*x-5*x)/(k-5)-sin(k*x+6*x)/(6+k)
sin(a*atan(x))/((1+e^(pi*x))*(1+x^2)^(a/2))
sin(a)/(1-sin(a))-cos(a)/(sin(a))
Raíz cuadrada sqrt
sqrt(x*(2-x))/2+sqrt(x*(2-x))*(1-x)*(3+x)/(2*x*(2-x))
sqrt(-x*(-2+x))*(1-(-1+x)/x-(-1+x)/(-2+x)+(-1+x)^2/(x*(-2+x)))/(x*(-2+x))
sqrt(x^2-4*x+9)*(-5-2*x)/(x^2+5*x+1)^2+(-2+x)/(sqrt(x^2-4*x+9)*(x^2+5*x+1))
sqrt((x+2)/(3*y+1))+((8*x^2+3)/(1-9*y^2))*((x+0,5)/(9*y+3))
sqrt(x^2-2*x)*(1/(sqrt(x^2-2*x))-(-1+x)*(x+1)/(x^2-2*x)^(3/2))/(3*(x+1))
Raíz cuadrada sqrt
sqrt(x*(2-x))/2+sqrt(x*(2-x))*(1-x)*(3+x)/(2*x*(2-x))
sqrt(-x*(-2+x))*(1-(-1+x)/x-(-1+x)/(-2+x)+(-1+x)^2/(x*(-2+x)))/(x*(-2+x))
sqrt(x^2-4*x+9)*(-5-2*x)/(x^2+5*x+1)^2+(-2+x)/(sqrt(x^2-4*x+9)*(x^2+5*x+1))
sqrt((x+2)/(3*y+1))+((8*x^2+3)/(1-9*y^2))*((x+0,5)/(9*y+3))
sqrt(x^2-2*x)*(1/(sqrt(x^2-2*x))-(-1+x)*(x+1)/(x^2-2*x)^(3/2))/(3*(x+1))
Coseno cos
cos(t)/(2*sqrt(sin(t)))
cos(t)/(1+sin(t))+cos(t)/(1-sin(t))
cos(sqrt(g/h)*t-sqrt((l+h)/h)*acos((d*(h+l))/(l*(2*z+d))))
cos(pi/2+a)*(-cot(a))/sin(pi/(2-a))
cos(pi/(3+x))+sqrt(3)*sin(x)/2
Seno sin
sin(l)/(1+cos(l))+sin(l)/((1)-cos(l))
sin((n+1)*x)/(2*(1+n))+sin((1-n)*x)/(2*(1-n))
sin(k*x-5*x)/(k-5)-sin(k*x+6*x)/(6+k)
sin(a*atan(x))/((1+e^(pi*x))*(1+x^2)^(a/2))
sin(a)/(1-sin(a))-cos(a)/(sin(a))
Coseno cos
cos(t)/(2*sqrt(sin(t)))
cos(t)/(1+sin(t))+cos(t)/(1-sin(t))
cos(sqrt(g/h)*t-sqrt((l+h)/h)*acos((d*(h+l))/(l*(2*z+d))))
cos(pi/2+a)*(-cot(a))/sin(pi/(2-a))
cos(pi/(3+x))+sqrt(3)*sin(x)/2

Simplificación de expresiones/ Descomposición en fracciones simples/ cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2

¿Cómo vas a descomponer esta cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3x)(3log(tan(x/2))/sqrt(1-9x^2)+(1/2+tan(x/2)^2/2)asin(3x)/tan(x/2))+sin(sqrt(x))/(2sqrt(x))+2cos(x)sin(x)tan(x)/(cos(x)^2+4)^2 expresión en fracciones?

Solución

Ha introducido [src]

                                           /                /       2/x\\          \                                      
                                           |                |    tan |-||          |                                      
                                           |     /   /x\\   |1       \2/|          |                                      
   /  ___\          2                      |3*log|tan|-||   |- + -------|*asin(3*x)|      /  ___\                         
cos\\/ x /   1 + tan (x)      asin(3*x)/x\ |     \   \2//   \2      2   /          |   sin\\/ x /   2*cos(x)*sin(x)*tan(x)
---------- + ----------- + tan         |-|*|------------- + -----------------------| + ---------- + ----------------------
    2           2                      \2/ |   __________               /x\        |        ___                      2    
             cos (x) + 4                   |  /        2             tan|-|        |    2*\/ x          /   2       \     
                                           \\/  1 - 9*x                 \2/        /                    \cos (x) + 4/

\frac{\sin{\left(x \right)} 2 \cos{\left(x \right)} \tan{\left(x \right)}}{\left(\cos^{2}{\left(x \right)} + 4\right)^{2}} + \left(\left(\left(\frac{\cos{\left(\sqrt{x} \right)}}{2} + \frac{\tan^{2}{\left(x \right)} + 1}{\cos^{2}{\left(x \right)} + 4}\right) + \left(\frac{\left(\frac{\tan^{2}{\left(\frac{x}{2} \right)}}{2} + \frac{1}{2}\right) \operatorname{asin}{\left(3 x \right)}}{\tan{\left(\frac{x}{2} \right)}} + \frac{3 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right) \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)}\right) + \frac{\sin{\left(\sqrt{x} \right)}}{2 \sqrt{x}}\right)

cos(sqrt(x))/2 + (1 + tan(x)^2)/(cos(x)^2 + 4) + tan(x/2)^asin(3*x)*((3*log(tan(x/2)))/sqrt(1 - 9*x^2) + ((1/2 + tan(x/2)^2/2)*asin(3*x))/tan(x/2)) + sin(sqrt(x))/((2*sqrt(x))) + (((2*cos(x))*sin(x))*tan(x))/(cos(x)^2 + 4)^2

Simplificación general [src]

                                                                                        asin(3*x)/x\                  asin(3*x)/x\    /   /x\\
                    /  ___\      /  ___\          2                                  tan         |-|*asin(3*x)   3*tan         |-|*log|tan|-||
      1          cos\\/ x /   sin\\/ x /     2*sin (x)                4                          \2/                           \2/    \   \2//
-------------- + ---------- + ---------- + -------------- + ---------------------- + ------------------------- + -----------------------------
             2       2             ___                  2                2                       /x\      /x\               __________        
/       2   \                  2*\/ x      /       2   \    /       2   \     2        cos(x)*tan|-| + tan|-|              /        2         
\4 + cos (x)/                              \4 + cos (x)/    \4 + cos (x)/ *cos (x)               \2/      \2/            \/  1 - 9*x

\frac{\cos{\left(\sqrt{x} \right)}}{2} + \frac{2 \sin^{2}{\left(x \right)}}{\left(\cos^{2}{\left(x \right)} + 4\right)^{2}} + \frac{1}{\left(\cos^{2}{\left(x \right)} + 4\right)^{2}} + \frac{4}{\left(\cos^{2}{\left(x \right)} + 4\right)^{2} \cos^{2}{\left(x \right)}} + \frac{\tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)}}{\cos{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + \tan{\left(\frac{x}{2} \right)}} + \frac{3 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)}}{\sqrt{1 - 9 x^{2}}} + \frac{\sin{\left(\sqrt{x} \right)}}{2 \sqrt{x}}

(4 + cos(x)^2)^(-2) + cos(sqrt(x))/2 + sin(sqrt(x))/(2*sqrt(x)) + 2*sin(x)^2/(4 + cos(x)^2)^2 + 4/((4 + cos(x)^2)^2*cos(x)^2) + tan(x/2)^asin(3*x)*asin(3*x)/(cos(x)*tan(x/2) + tan(x/2)) + 3*tan(x/2)^asin(3*x)*log(tan(x/2))/sqrt(1 - 9*x^2)

Denominador racional [src]

                  2                                           2                                2                                2                                                   2                                           2                                 2                                                   2                                      2                                           2                                                   2                                                                                   2                                                                                                  2                                                          2                                                2                                                  2                                                          2                                                   2                                                                                                                                  __________              2                                                           2                                                                  2                                                         __________              2                                           
     /       2   \     /  ___\    /x\        ___ /       2   \     /x\        5/2 /       2   \     /x\        ___ /       2   \     asin(3*x)/x\                  ___ /       2   \     /  ___\    /x\        ___ /       2   \     2       /x\     /       2   \     2       /  ___\    /x\        5/2 /       2   \     2       /x\        2 /       2   \     /  ___\    /x\        5/2 /       2   \     asin(3*x)/x\                  5/2 /       2   \     /  ___\    /x\         ___                         /x\        ___ /       2   \     2/x\    asin(3*x)/x\                  ___    3                     /x\       ___ /       2   \     2       asin(3*x)/x\                 ___ /       2   \     2       /  ___\    /x\       2 /       2   \     2       /  ___\    /x\       5/2 /       2   \     2       asin(3*x)/x\                 5/2 /       2   \     2       /  ___\    /x\        5/2 /       2   \     2/x\    asin(3*x)/x\                  5/2    3                     /x\         5/2                         /x\         ___   /        2  /       2   \     asin(3*x)/x\    /   /x\\    /x\       ___ /       2   \     2       2/x\    asin(3*x)/x\                 5/2 /       2   \     2       2/x\    asin(3*x)/x\                  ___   /        2  /       2   \     2       asin(3*x)/x\    /   /x\\    /x\
- 32*\4 + cos (x)/ *sin\\/ x /*tan|-| - 16*\/ x *\4 + cos (x)/ *tan|-| + 144*x   *\4 + cos (x)/ *tan|-| - 32*\/ x *\4 + cos (x)/ *tan         |-|*asin(3*x) - 32*\/ x *\4 + cos (x)/ *cos\\/ x /*tan|-| - 16*\/ x *\4 + cos (x)/ *tan (x)*tan|-| - 8*\4 + cos (x)/ *cos (x)*sin\\/ x /*tan|-| + 144*x   *\4 + cos (x)/ *tan (x)*tan|-| + 288*x *\4 + cos (x)/ *sin\\/ x /*tan|-| + 288*x   *\4 + cos (x)/ *tan         |-|*asin(3*x) + 288*x   *\4 + cos (x)/ *cos\\/ x /*tan|-| - 128*\/ x *cos(x)*sin(x)*tan(x)*tan|-| - 32*\/ x *\4 + cos (x)/ *tan |-|*tan         |-|*asin(3*x) - 32*\/ x *cos (x)*sin(x)*tan(x)*tan|-| - 8*\/ x *\4 + cos (x)/ *cos (x)*tan         |-|*asin(3*x) - 8*\/ x *\4 + cos (x)/ *cos (x)*cos\\/ x /*tan|-| + 72*x *\4 + cos (x)/ *cos (x)*sin\\/ x /*tan|-| + 72*x   *\4 + cos (x)/ *cos (x)*tan         |-|*asin(3*x) + 72*x   *\4 + cos (x)/ *cos (x)*cos\\/ x /*tan|-| + 288*x   *\4 + cos (x)/ *tan |-|*tan         |-|*asin(3*x) + 288*x   *cos (x)*sin(x)*tan(x)*tan|-| + 1152*x   *cos(x)*sin(x)*tan(x)*tan|-| - 192*\/ x *\/  1 - 9*x  *\4 + cos (x)/ *tan         |-|*log|tan|-||*tan|-| - 8*\/ x *\4 + cos (x)/ *cos (x)*tan |-|*tan         |-|*asin(3*x) + 72*x   *\4 + cos (x)/ *cos (x)*tan |-|*tan         |-|*asin(3*x) - 48*\/ x *\/  1 - 9*x  *\4 + cos (x)/ *cos (x)*tan         |-|*log|tan|-||*tan|-|
                                  \2/                              \2/                              \2/                                       \2/                                                   \2/                                      \2/                                          \2/                                      \2/                                       \2/                                       \2/                                                   \2/                                     \2/                               \2/             \2/                                               \2/                                              \2/                                                          \2/                                              \2/                                              \2/                                                          \2/                               \2/             \2/                                               \2/                                     \2/                                                      \2/    \   \2//    \2/                                      \2/             \2/                                                \2/             \2/                                                                       \2/    \   \2//    \2/
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    ___ /        2\ /       2   \  /         2   \    /x\                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                8*\/ x *\-1 + 9*x /*\4 + cos (x)/ *\8 + 2*cos (x)/*tan|-|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \2/

\frac{72 x^{\frac{5}{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \cos{\left(\sqrt{x} \right)} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 288 x^{\frac{5}{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \cos{\left(\sqrt{x} \right)} \tan{\left(\frac{x}{2} \right)} + 72 x^{\frac{5}{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \cos^{2}{\left(x \right)} \tan^{2}{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 72 x^{\frac{5}{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \cos^{2}{\left(x \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 144 x^{\frac{5}{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \tan^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 288 x^{\frac{5}{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \tan^{2}{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 144 x^{\frac{5}{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \tan{\left(\frac{x}{2} \right)} + 288 x^{\frac{5}{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 288 x^{\frac{5}{2}} \sin{\left(x \right)} \cos^{3}{\left(x \right)} \tan{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 1152 x^{\frac{5}{2}} \sin{\left(x \right)} \cos{\left(x \right)} \tan{\left(x \right)} \tan{\left(\frac{x}{2} \right)} - 48 \sqrt{x} \sqrt{1 - 9 x^{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} - 192 \sqrt{x} \sqrt{1 - 9 x^{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \tan{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} - 8 \sqrt{x} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \cos{\left(\sqrt{x} \right)} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} - 32 \sqrt{x} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \cos{\left(\sqrt{x} \right)} \tan{\left(\frac{x}{2} \right)} - 8 \sqrt{x} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \cos^{2}{\left(x \right)} \tan^{2}{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} - 8 \sqrt{x} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \cos^{2}{\left(x \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} - 16 \sqrt{x} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \tan^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} - 32 \sqrt{x} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \tan^{2}{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} - 16 \sqrt{x} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \tan{\left(\frac{x}{2} \right)} - 32 \sqrt{x} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} - 32 \sqrt{x} \sin{\left(x \right)} \cos^{3}{\left(x \right)} \tan{\left(x \right)} \tan{\left(\frac{x}{2} \right)} - 128 \sqrt{x} \sin{\left(x \right)} \cos{\left(x \right)} \tan{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 72 x^{2} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \sin{\left(\sqrt{x} \right)} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 288 x^{2} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \sin{\left(\sqrt{x} \right)} \tan{\left(\frac{x}{2} \right)} - 8 \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \sin{\left(\sqrt{x} \right)} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} - 32 \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \sin{\left(\sqrt{x} \right)} \tan{\left(\frac{x}{2} \right)}}{8 \sqrt{x} \left(9 x^{2} - 1\right) \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \left(2 \cos^{2}{\left(x \right)} + 8\right) \tan{\left(\frac{x}{2} \right)}}

(-32*(4 + cos(x)^2)^2*sin(sqrt(x))*tan(x/2) - 16*sqrt(x)*(4 + cos(x)^2)^2*tan(x/2) + 144*x^(5/2)*(4 + cos(x)^2)^2*tan(x/2) - 32*sqrt(x)*(4 + cos(x)^2)^2*tan(x/2)^asin(3*x)*asin(3*x) - 32*sqrt(x)*(4 + cos(x)^2)^2*cos(sqrt(x))*tan(x/2) - 16*sqrt(x)*(4 + cos(x)^2)^2*tan(x)^2*tan(x/2) - 8*(4 + cos(x)^2)^2*cos(x)^2*sin(sqrt(x))*tan(x/2) + 144*x^(5/2)*(4 + cos(x)^2)^2*tan(x)^2*tan(x/2) + 288*x^2*(4 + cos(x)^2)^2*sin(sqrt(x))*tan(x/2) + 288*x^(5/2)*(4 + cos(x)^2)^2*tan(x/2)^asin(3*x)*asin(3*x) + 288*x^(5/2)*(4 + cos(x)^2)^2*cos(sqrt(x))*tan(x/2) - 128*sqrt(x)*cos(x)*sin(x)*tan(x)*tan(x/2) - 32*sqrt(x)*(4 + cos(x)^2)^2*tan(x/2)^2*tan(x/2)^asin(3*x)*asin(3*x) - 32*sqrt(x)*cos(x)^3*sin(x)*tan(x)*tan(x/2) - 8*sqrt(x)*(4 + cos(x)^2)^2*cos(x)^2*tan(x/2)^asin(3*x)*asin(3*x) - 8*sqrt(x)*(4 + cos(x)^2)^2*cos(x)^2*cos(sqrt(x))*tan(x/2) + 72*x^2*(4 + cos(x)^2)^2*cos(x)^2*sin(sqrt(x))*tan(x/2) + 72*x^(5/2)*(4 + cos(x)^2)^2*cos(x)^2*tan(x/2)^asin(3*x)*asin(3*x) + 72*x^(5/2)*(4 + cos(x)^2)^2*cos(x)^2*cos(sqrt(x))*tan(x/2) + 288*x^(5/2)*(4 + cos(x)^2)^2*tan(x/2)^2*tan(x/2)^asin(3*x)*asin(3*x) + 288*x^(5/2)*cos(x)^3*sin(x)*tan(x)*tan(x/2) + 1152*x^(5/2)*cos(x)*sin(x)*tan(x)*tan(x/2) - 192*sqrt(x)*sqrt(1 - 9*x^2)*(4 + cos(x)^2)^2*tan(x/2)^asin(3*x)*log(tan(x/2))*tan(x/2) - 8*sqrt(x)*(4 + cos(x)^2)^2*cos(x)^2*tan(x/2)^2*tan(x/2)^asin(3*x)*asin(3*x) + 72*x^(5/2)*(4 + cos(x)^2)^2*cos(x)^2*tan(x/2)^2*tan(x/2)^asin(3*x)*asin(3*x) - 48*sqrt(x)*sqrt(1 - 9*x^2)*(4 + cos(x)^2)^2*cos(x)^2*tan(x/2)^asin(3*x)*log(tan(x/2))*tan(x/2))/(8*sqrt(x)*(-1 + 9*x^2)*(4 + cos(x)^2)^2*(8 + 2*cos(x)^2)*tan(x/2))

Respuesta numérica [src]

0.5*cos(sqrt(x)) + (1.0 + tan(x)^2)/(4.0 + cos(x)^2) + tan(x/2)^asin(3*x)*(1.0*(0.111111111111111 - x^2)^(-0.5)*log(tan(x/2)) + (0.5 + 0.5*tan(x/2)^2)*asin(3*x)/tan(x/2)) + 0.5*x^(-0.5)*sin(sqrt(x)) + 0.125*cos(x)*sin(x)*tan(x)/(1 + 0.25*cos(x)^2)^2

0.5*cos(sqrt(x)) + (1.0 + tan(x)^2)/(4.0 + cos(x)^2) + tan(x/2)^asin(3*x)*(1.0*(0.111111111111111 - x^2)^(-0.5)*log(tan(x/2)) + (0.5 + 0.5*tan(x/2)^2)*asin(3*x)/tan(x/2)) + 0.5*x^(-0.5)*sin(sqrt(x)) + 0.125*cos(x)*sin(x)*tan(x)/(1 + 0.25*cos(x)^2)^2

Unión de expresiones racionales [src]

              /      /   __________                                                                                   /                          __________                        \\      __________                                \              __________                            
/       2   \ |  ___ |  /        2  /         2      /       2   \    /  ___\\    /x\      asin(3*x)/x\ /       2   \ |     /   /x\\    /x\     /        2  /       2/x\\          ||     /        2  /       2   \    /  ___\    /x\|       ___   /        2                          /x\
\4 + cos (x)/*|\/ x *|\/  1 - 9*x  *\2 + 2*tan (x) + \4 + cos (x)/*cos\\/ x //*tan|-| + tan         |-|*\4 + cos (x)/*|6*log|tan|-||*tan|-| + \/  1 - 9*x  *|1 + tan |-||*asin(3*x)|| + \/  1 - 9*x  *\4 + cos (x)/*sin\\/ x /*tan|-|| + 4*\/ x *\/  1 - 9*x  *cos(x)*sin(x)*tan(x)*tan|-|
              \      \                                                            \2/               \2/               \     \   \2//    \2/                 \        \2//          //                                             \2//                                                 \2/
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                                  __________              2                                                                                                                               
                                                                                                                           ___   /        2  /       2   \     /x\                                                                                                                        
                                                                                                                       2*\/ x *\/  1 - 9*x  *\4 + cos (x)/ *tan|-|                                                                                                                        
                                                                                                                                                               \2/

\frac{4 \sqrt{x} \sqrt{1 - 9 x^{2}} \sin{\left(x \right)} \cos{\left(x \right)} \tan{\left(\frac{x}{2} \right)} \tan{\left(x \right)} + \left(\sqrt{x} \left(\sqrt{1 - 9 x^{2}} \left(\left(\cos^{2}{\left(x \right)} + 4\right) \cos{\left(\sqrt{x} \right)} + 2 \tan^{2}{\left(x \right)} + 2\right) \tan{\left(\frac{x}{2} \right)} + \left(\sqrt{1 - 9 x^{2}} \left(\tan^{2}{\left(\frac{x}{2} \right)} + 1\right) \operatorname{asin}{\left(3 x \right)} + 6 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \tan{\left(\frac{x}{2} \right)}\right) \left(\cos^{2}{\left(x \right)} + 4\right) \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)}\right) + \sqrt{1 - 9 x^{2}} \left(\cos^{2}{\left(x \right)} + 4\right) \sin{\left(\sqrt{x} \right)} \tan{\left(\frac{x}{2} \right)}\right) \left(\cos^{2}{\left(x \right)} + 4\right)}{2 \sqrt{x} \sqrt{1 - 9 x^{2}} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \tan{\left(\frac{x}{2} \right)}}

((4 + cos(x)^2)*(sqrt(x)*(sqrt(1 - 9*x^2)*(2 + 2*tan(x)^2 + (4 + cos(x)^2)*cos(sqrt(x)))*tan(x/2) + tan(x/2)^asin(3*x)*(4 + cos(x)^2)*(6*log(tan(x/2))*tan(x/2) + sqrt(1 - 9*x^2)*(1 + tan(x/2)^2)*asin(3*x))) + sqrt(1 - 9*x^2)*(4 + cos(x)^2)*sin(sqrt(x))*tan(x/2)) + 4*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)*sin(x)*tan(x)*tan(x/2))/(2*sqrt(x)*sqrt(1 - 9*x^2)*(4 + cos(x)^2)^2*tan(x/2))

Potencias [src]

                                                      /                               /                     2\                          \                                                                                         
                                                      |                               |    /   I*x    -I*x \ |                          |                                                                                         
                                                      |     /  /   I*x    -I*x \\     |    |   ---    -----| | / I*x    -I*x \          |                                                                                         
                                                      |     |  |   ---    -----||     |    |    2       2  | | | ---    -----|          |                                                                                         
                                                      |     |  |    2       2  ||     |1   \- e    + e     / | |  2       2  |          |                       2                                                                 
                                                      |     |I*\- e    + e     /|   I*|- - ------------------|*\e    + e     /*asin(3*x)|       /   I*x    -I*x\                                                                  
                                            asin(3*x) |3*log|-------------------|     |2                    2|                          |       \- e    + e    /                                                                  
                       /  /   I*x    -I*x \\          |     |    I*x    -I*x    |     |      / I*x    -I*x \ |                          |   1 - -----------------                                                                 
     ___         ___   |  |   ---    -----||          |     |    ---    -----   |     |      | ---    -----| |                          |                      2                                          /        ___        ___\
 I*\/ x     -I*\/ x    |  |    2       2  ||          |     |     2       2     |     |      |  2       2  | |                          |        / I*x    -I*x\     /   I*x    -I*x\ /   -I*x    I*x\     |   -I*\/ x     I*\/ x |
e          e           |I*\- e    + e     /|          |     \   e    + e        /     \    2*\e    + e     / /                          |        \e    + e    /     \- e    + e    /*\- e     + e   /   I*\- e         + e       /
-------- + --------- + |-------------------|         *|-------------------------- - ----------------------------------------------------| + --------------------- + --------------------------------- - --------------------------
   4           4       |    I*x    -I*x    |          |         __________                               I*x    -I*x                    |                      2                                2                    ___          
                       |    ---    -----   |          |        /        2                                ---    -----                   |        / I*x    -I*x\            /                  2\                 4*\/ x           
                       |     2       2     |          |      \/  1 - 9*x                                  2       2                     |        |e      e    |            |    / I*x    -I*x\ |                                  
                       \   e    + e        /          \                                               - e    + e                        /    4 + |---- + -----|            |    |e      e    | |                                  
                                                                                                                                                 \ 2       2  /          2*|4 + |---- + -----| |                                  
                                                                                                                                                                           \    \ 2       2  / /

\left(\frac{i \left(- e^{\frac{i x}{2}} + e^{- \frac{i x}{2}}\right)}{e^{\frac{i x}{2}} + e^{- \frac{i x}{2}}}\right)^{\operatorname{asin}{\left(3 x \right)}} \left(- \frac{i \left(- \frac{\left(- e^{\frac{i x}{2}} + e^{- \frac{i x}{2}}\right)^{2}}{2 \left(e^{\frac{i x}{2}} + e^{- \frac{i x}{2}}\right)^{2}} + \frac{1}{2}\right) \left(e^{\frac{i x}{2}} + e^{- \frac{i x}{2}}\right) \operatorname{asin}{\left(3 x \right)}}{- e^{\frac{i x}{2}} + e^{- \frac{i x}{2}}} + \frac{3 \log{\left(\frac{i \left(- e^{\frac{i x}{2}} + e^{- \frac{i x}{2}}\right)}{e^{\frac{i x}{2}} + e^{- \frac{i x}{2}}} \right)}}{\sqrt{1 - 9 x^{2}}}\right) + \frac{- \frac{\left(- e^{i x} + e^{- i x}\right)^{2}}{\left(e^{i x} + e^{- i x}\right)^{2}} + 1}{\left(\frac{e^{i x}}{2} + \frac{e^{- i x}}{2}\right)^{2} + 4} + \frac{e^{i \sqrt{x}}}{4} + \frac{e^{- i \sqrt{x}}}{4} + \frac{\left(- e^{i x} + e^{- i x}\right) \left(e^{i x} - e^{- i x}\right)}{2 \left(\left(\frac{e^{i x}}{2} + \frac{e^{- i x}}{2}\right)^{2} + 4\right)^{2}} - \frac{i \left(e^{i \sqrt{x}} - e^{- i \sqrt{x}}\right)}{4 \sqrt{x}}

                                           /                /       2/x\\          \                                      
                                           |                |    tan |-||          |                                      
                                           |     /   /x\\   |1       \2/|          |                                      
   /  ___\          2                      |3*log|tan|-||   |- + -------|*asin(3*x)|      /  ___\                         
cos\\/ x /   1 + tan (x)      asin(3*x)/x\ |     \   \2//   \2      2   /          |   sin\\/ x /   2*cos(x)*sin(x)*tan(x)
---------- + ----------- + tan         |-|*|------------- + -----------------------| + ---------- + ----------------------
    2               2                  \2/ |   __________               /x\        |        ___                      2    
             4 + cos (x)                   |  /        2             tan|-|        |    2*\/ x          /       2   \     
                                           \\/  1 - 9*x                 \2/        /                    \4 + cos (x)/

\left(\frac{\left(\frac{\tan^{2}{\left(\frac{x}{2} \right)}}{2} + \frac{1}{2}\right) \operatorname{asin}{\left(3 x \right)}}{\tan{\left(\frac{x}{2} \right)}} + \frac{3 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right) \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} + \frac{\cos{\left(\sqrt{x} \right)}}{2} + \frac{\tan^{2}{\left(x \right)} + 1}{\cos^{2}{\left(x \right)} + 4} + \frac{2 \sin{\left(x \right)} \cos{\left(x \right)} \tan{\left(x \right)}}{\left(\cos^{2}{\left(x \right)} + 4\right)^{2}} + \frac{\sin{\left(\sqrt{x} \right)}}{2 \sqrt{x}}

cos(sqrt(x))/2 + (1 + tan(x)^2)/(4 + cos(x)^2) + tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1 - 9*x^2) + (1/2 + tan(x/2)^2/2)*asin(3*x)/tan(x/2)) + sin(sqrt(x))/(2*sqrt(x)) + 2*cos(x)*sin(x)*tan(x)/(4 + cos(x)^2)^2

Combinatoria [src]

           __________                __________                        __________                                        __________                             __________                       __________                                         __________                                         __________                                                                            __________                                              __________                                        __________                                                                                          __________                                                __________                                         __________                                                                                                    __________                                                        __________                                          __________                                          
    ___   /        2     /x\        /        2     /  ___\    /x\     /        2     4       /  ___\    /x\       ___   /        2     2       /x\       ___   /        2     2       /x\       /        2     2       /  ___\    /x\        ___   /        2     asin(3*x)/x\                  ___   /        2     /  ___\    /x\        ___    asin(3*x)/x\    /   /x\\    /x\     ___   /        2     4       asin(3*x)/x\               ___   /        2     4       /  ___\    /x\       ___   /        2     2       2       /x\       ___    4       asin(3*x)/x\    /   /x\\    /x\       ___   /        2     2       asin(3*x)/x\                 ___   /        2     2       /  ___\    /x\        ___   /        2     2/x\    asin(3*x)/x\                  ___    2       asin(3*x)/x\    /   /x\\    /x\     ___   /        2     4       2/x\    asin(3*x)/x\                 ___   /        2                          /x\       ___   /        2     2       2/x\    asin(3*x)/x\          
8*\/ x *\/  1 - 9*x  *tan|-| + 16*\/  1 - 9*x  *sin\\/ x /*tan|-| + \/  1 - 9*x  *cos (x)*sin\\/ x /*tan|-| + 2*\/ x *\/  1 - 9*x  *cos (x)*tan|-| + 8*\/ x *\/  1 - 9*x  *tan (x)*tan|-| + 8*\/  1 - 9*x  *cos (x)*sin\\/ x /*tan|-| + 16*\/ x *\/  1 - 9*x  *tan         |-|*asin(3*x) + 16*\/ x *\/  1 - 9*x  *cos\\/ x /*tan|-| + 96*\/ x *tan         |-|*log|tan|-||*tan|-| + \/ x *\/  1 - 9*x  *cos (x)*tan         |-|*asin(3*x) + \/ x *\/  1 - 9*x  *cos (x)*cos\\/ x /*tan|-| + 2*\/ x *\/  1 - 9*x  *cos (x)*tan (x)*tan|-| + 6*\/ x *cos (x)*tan         |-|*log|tan|-||*tan|-| + 8*\/ x *\/  1 - 9*x  *cos (x)*tan         |-|*asin(3*x) + 8*\/ x *\/  1 - 9*x  *cos (x)*cos\\/ x /*tan|-| + 16*\/ x *\/  1 - 9*x  *tan |-|*tan         |-|*asin(3*x) + 48*\/ x *cos (x)*tan         |-|*log|tan|-||*tan|-| + \/ x *\/  1 - 9*x  *cos (x)*tan |-|*tan         |-|*asin(3*x) + 4*\/ x *\/  1 - 9*x  *cos(x)*sin(x)*tan(x)*tan|-| + 8*\/ x *\/  1 - 9*x  *cos (x)*tan |-|*tan         |-|*asin(3*x)
                         \2/                                  \2/                                       \2/                                    \2/                                    \2/                                         \2/                                      \2/                                                  \2/                        \2/    \   \2//    \2/                                           \2/                                                       \2/                                            \2/                               \2/    \   \2//    \2/                                             \2/                                                         \2/                              \2/             \2/                                          \2/    \   \2//    \2/                                   \2/             \2/                                                           \2/                                     \2/             \2/          
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                ___   _______________________ /       2   \     /x\                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2*\/ x *\/ -(1 + 3*x)*(-1 + 3*x) *\4 + cos (x)/ *tan|-|                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \2/

\frac{4 \sqrt{x} \sqrt{1 - 9 x^{2}} \sin{\left(x \right)} \cos{\left(x \right)} \tan{\left(\frac{x}{2} \right)} \tan{\left(x \right)} + \sqrt{x} \sqrt{1 - 9 x^{2}} \cos{\left(\sqrt{x} \right)} \cos^{4}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 8 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos{\left(\sqrt{x} \right)} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 16 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos{\left(\sqrt{x} \right)} \tan{\left(\frac{x}{2} \right)} + \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{4}{\left(x \right)} \tan^{2}{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{4}{\left(x \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 8 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{2}{\left(x \right)} \tan^{2}{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 2 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} \tan^{2}{\left(x \right)} + 2 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 8 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{2}{\left(x \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 16 \sqrt{x} \sqrt{1 - 9 x^{2}} \tan^{2}{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 8 \sqrt{x} \sqrt{1 - 9 x^{2}} \tan{\left(\frac{x}{2} \right)} \tan^{2}{\left(x \right)} + 8 \sqrt{x} \sqrt{1 - 9 x^{2}} \tan{\left(\frac{x}{2} \right)} + 16 \sqrt{x} \sqrt{1 - 9 x^{2}} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 6 \sqrt{x} \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \cos^{4}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} + 48 \sqrt{x} \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} + 96 \sqrt{x} \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \tan{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} + \sqrt{1 - 9 x^{2}} \sin{\left(\sqrt{x} \right)} \cos^{4}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 8 \sqrt{1 - 9 x^{2}} \sin{\left(\sqrt{x} \right)} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 16 \sqrt{1 - 9 x^{2}} \sin{\left(\sqrt{x} \right)} \tan{\left(\frac{x}{2} \right)}}{2 \sqrt{x} \sqrt{- \left(3 x - 1\right) \left(3 x + 1\right)} \left(\cos^{2}{\left(x \right)} + 4\right)^{2} \tan{\left(\frac{x}{2} \right)}}

(8*sqrt(x)*sqrt(1 - 9*x^2)*tan(x/2) + 16*sqrt(1 - 9*x^2)*sin(sqrt(x))*tan(x/2) + sqrt(1 - 9*x^2)*cos(x)^4*sin(sqrt(x))*tan(x/2) + 2*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^2*tan(x/2) + 8*sqrt(x)*sqrt(1 - 9*x^2)*tan(x)^2*tan(x/2) + 8*sqrt(1 - 9*x^2)*cos(x)^2*sin(sqrt(x))*tan(x/2) + 16*sqrt(x)*sqrt(1 - 9*x^2)*tan(x/2)^asin(3*x)*asin(3*x) + 16*sqrt(x)*sqrt(1 - 9*x^2)*cos(sqrt(x))*tan(x/2) + 96*sqrt(x)*tan(x/2)^asin(3*x)*log(tan(x/2))*tan(x/2) + sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^4*tan(x/2)^asin(3*x)*asin(3*x) + sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^4*cos(sqrt(x))*tan(x/2) + 2*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^2*tan(x)^2*tan(x/2) + 6*sqrt(x)*cos(x)^4*tan(x/2)^asin(3*x)*log(tan(x/2))*tan(x/2) + 8*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^2*tan(x/2)^asin(3*x)*asin(3*x) + 8*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^2*cos(sqrt(x))*tan(x/2) + 16*sqrt(x)*sqrt(1 - 9*x^2)*tan(x/2)^2*tan(x/2)^asin(3*x)*asin(3*x) + 48*sqrt(x)*cos(x)^2*tan(x/2)^asin(3*x)*log(tan(x/2))*tan(x/2) + sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^4*tan(x/2)^2*tan(x/2)^asin(3*x)*asin(3*x) + 4*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)*sin(x)*tan(x)*tan(x/2) + 8*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^2*tan(x/2)^2*tan(x/2)^asin(3*x)*asin(3*x))/(2*sqrt(x)*sqrt(-(1 + 3*x)*(-1 + 3*x))*(4 + cos(x)^2)^2*tan(x/2))

Compilar la expresión [src]

                                           /                /       2/x\\          \                                      
                                           |                |    tan |-||          |                                      
                                           |     /   /x\\   |1       \2/|          |                                      
   /  ___\          2                      |3*log|tan|-||   |- + -------|*asin(3*x)|      /  ___\                         
cos\\/ x /   1 + tan (x)      asin(3*x)/x\ |     \   \2//   \2      2   /          |   sin\\/ x /   2*cos(x)*sin(x)*tan(x)
---------- + ----------- + tan         |-|*|------------- + -----------------------| + ---------- + ----------------------
    2               2                  \2/ |   __________               /x\        |        ___                      2    
             4 + cos (x)                   |  /        2             tan|-|        |    2*\/ x          /       2   \     
                                           \\/  1 - 9*x                 \2/        /                    \4 + cos (x)/

\left(\frac{\left(\frac{\tan^{2}{\left(\frac{x}{2} \right)}}{2} + \frac{1}{2}\right) \operatorname{asin}{\left(3 x \right)}}{\tan{\left(\frac{x}{2} \right)}} + \frac{3 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right) \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} + \frac{\cos{\left(\sqrt{x} \right)}}{2} + \frac{\tan^{2}{\left(x \right)} + 1}{\cos^{2}{\left(x \right)} + 4} + \frac{2 \sin{\left(x \right)} \cos{\left(x \right)} \tan{\left(x \right)}}{\left(\cos^{2}{\left(x \right)} + 4\right)^{2}} + \frac{\sin{\left(\sqrt{x} \right)}}{2 \sqrt{x}}

cos(sqrt(x))/2 + (1 + tan(x)^2)/(4 + cos(x)^2) + tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1 - 9*x^2) + (1/2 + tan(x/2)^2/2)*asin(3*x)/tan(x/2)) + sin(sqrt(x))/(2*sqrt(x)) + 2*cos(x)*sin(x)*tan(x)/(4 + cos(x)^2)^2

Abrimos la expresión [src]

                                                         asin(3*x)/x\                asin(3*x)/x\              /x\        asin(3*x)/x\    /   /x\\                           
                 /  ___\        2           /  ___\   tan         |-|*asin(3*x)   tan         |-|*asin(3*x)*tan|-|   3*tan         |-|*log|tan|-||                           
     1        cos\\/ x /     tan (x)     sin\\/ x /               \2/                         \2/              \2/                 \2/    \   \2//    2*cos(x)*sin(x)*tan(x) 
----------- + ---------- + ----------- + ---------- + ------------------------- + -------------------------------- + ----------------------------- + ------------------------
   2              2           2               ___                   /x\                          2                              __________                   4           2   
cos (x) + 4                cos (x) + 4    2*\/ x               2*tan|-|                                                        /        2            16 + cos (x) + 8*cos (x)
                                                                    \2/                                                      \/  1 - 9*x

\frac{\cos{\left(\sqrt{x} \right)}}{2} + \frac{\tan{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)}}{2} + \frac{\tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)}}{2 \tan{\left(\frac{x}{2} \right)}} + \frac{2 \sin{\left(x \right)} \cos{\left(x \right)} \tan{\left(x \right)}}{\cos^{4}{\left(x \right)} + 8 \cos^{2}{\left(x \right)} + 16} + \frac{\tan^{2}{\left(x \right)}}{\cos^{2}{\left(x \right)} + 4} + \frac{1}{\cos^{2}{\left(x \right)} + 4} + \frac{3 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)}}{\sqrt{1 - 9 x^{2}}} + \frac{\sin{\left(\sqrt{x} \right)}}{2 \sqrt{x}}

                /                /       2/x\\          \                                                                 
                |                |    tan |-||          |                                                                 
                |     /   /x\\   |1       \2/|          |                                                                 
                |3*log|tan|-||   |- + -------|*asin(3*x)|                                   2         /  ___\      /  ___\
   asin(3*x)/x\ |     \   \2//   \2      2   /          |   2*cos(x)*sin(x)*tan(x)   1 + tan (x)   cos\\/ x /   sin\\/ x /
tan         |-|*|------------- + -----------------------| + ---------------------- + ----------- + ---------- + ----------
            \2/ |   __________               /x\        |                    2          2              2             ___  
                |  /        2             tan|-|        |       /   2       \        cos (x) + 4                 2*\/ x   
                \\/  1 - 9*x                 \2/        /       \cos (x) + 4/

\frac{\sin{\left(x \right)} 2 \cos{\left(x \right)} \tan{\left(x \right)}}{\left(\cos^{2}{\left(x \right)} + 4\right)^{2}} + \left(\frac{\left(\frac{\tan^{2}{\left(\frac{x}{2} \right)}}{2} + \frac{1}{2}\right) \operatorname{asin}{\left(3 x \right)}}{\tan{\left(\frac{x}{2} \right)}} + \frac{3 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}}{\sqrt{1 - 9 x^{2}}}\right) \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} + \frac{\cos{\left(\sqrt{x} \right)}}{2} + \frac{\tan^{2}{\left(x \right)} + 1}{\cos^{2}{\left(x \right)} + 4} + \frac{\sin{\left(\sqrt{x} \right)}}{2 \sqrt{x}}

tan(x/2)^asin(3*x)*((3*log(tan(x/2)))/sqrt(1 - 9*x^2) + ((1/2 + tan(x/2)^2/2)*asin(3*x))/tan(x/2)) + (((2*cos(x))*sin(x))*tan(x))/(cos(x)^2 + 4)^2 + (1 + tan(x)^2)/(cos(x)^2 + 4) + cos(sqrt(x))/2 + sin(sqrt(x))/(2*sqrt(x))

Denominador común [src]

                        __________                __________                        __________                                        __________                             __________                       __________                                         __________                                                                                    __________                                                __________                                                                                          __________                                                                                                      __________                                                               
                 ___   /        2     /x\        /        2     /  ___\    /x\     /        2     4       /  ___\    /x\       ___   /        2     2       /x\       ___   /        2     2       /x\       /        2     2       /  ___\    /x\        ___   /        2     asin(3*x)/x\                  ___    asin(3*x)/x\    /   /x\\    /x\     ___   /        2     4       asin(3*x)/x\                 ___   /        2     2       2       /x\       ___    4       asin(3*x)/x\    /   /x\\    /x\       ___   /        2     2       asin(3*x)/x\                  ___    2       asin(3*x)/x\    /   /x\\    /x\       ___   /        2                          /x\      asin(3*x)/x\              /x\
   /  ___\   8*\/ x *\/  1 - 9*x  *tan|-| + 16*\/  1 - 9*x  *sin\\/ x /*tan|-| + \/  1 - 9*x  *cos (x)*sin\\/ x /*tan|-| + 2*\/ x *\/  1 - 9*x  *cos (x)*tan|-| + 8*\/ x *\/  1 - 9*x  *tan (x)*tan|-| + 8*\/  1 - 9*x  *cos (x)*sin\\/ x /*tan|-| + 16*\/ x *\/  1 - 9*x  *tan         |-|*asin(3*x) + 96*\/ x *tan         |-|*log|tan|-||*tan|-| + \/ x *\/  1 - 9*x  *cos (x)*tan         |-|*asin(3*x) + 2*\/ x *\/  1 - 9*x  *cos (x)*tan (x)*tan|-| + 6*\/ x *cos (x)*tan         |-|*log|tan|-||*tan|-| + 8*\/ x *\/  1 - 9*x  *cos (x)*tan         |-|*asin(3*x) + 48*\/ x *cos (x)*tan         |-|*log|tan|-||*tan|-| + 4*\/ x *\/  1 - 9*x  *cos(x)*sin(x)*tan(x)*tan|-|   tan         |-|*asin(3*x)*tan|-|
cos\\/ x /                            \2/                                  \2/                                       \2/                                    \2/                                    \2/                                         \2/                                      \2/                                  \2/    \   \2//    \2/                                           \2/                                                      \2/                               \2/    \   \2//    \2/                                             \2/                                          \2/    \   \2//    \2/                                                 \2/               \2/              \2/
---------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------
    2                                                                                                                                                                                                                                                                                                 __________                     __________                              __________                                                                                                                                                                                                                                                                                                              2                
                                                                                                                                                                                                                                                                                               ___   /        2     /x\       ___   /        2     4       /x\        ___   /        2     2       /x\                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                          32*\/ x *\/  1 - 9*x  *tan|-| + 2*\/ x *\/  1 - 9*x  *cos (x)*tan|-| + 16*\/ x *\/  1 - 9*x  *cos (x)*tan|-|                                                                                                                                                                                                                                                                                                                
                                                                                                                                                                                                                                                                                                                    \2/                                    \2/                                     \2/

\frac{\cos{\left(\sqrt{x} \right)}}{2} + \frac{\tan{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)}}{2} + \frac{4 \sqrt{x} \sqrt{1 - 9 x^{2}} \sin{\left(x \right)} \cos{\left(x \right)} \tan{\left(\frac{x}{2} \right)} \tan{\left(x \right)} + \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{4}{\left(x \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 2 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} \tan^{2}{\left(x \right)} + 2 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 8 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{2}{\left(x \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 8 \sqrt{x} \sqrt{1 - 9 x^{2}} \tan{\left(\frac{x}{2} \right)} \tan^{2}{\left(x \right)} + 8 \sqrt{x} \sqrt{1 - 9 x^{2}} \tan{\left(\frac{x}{2} \right)} + 16 \sqrt{x} \sqrt{1 - 9 x^{2}} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} \operatorname{asin}{\left(3 x \right)} + 6 \sqrt{x} \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \cos^{4}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} + 48 \sqrt{x} \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} + 96 \sqrt{x} \log{\left(\tan{\left(\frac{x}{2} \right)} \right)} \tan{\left(\frac{x}{2} \right)} \tan^{\operatorname{asin}{\left(3 x \right)}}{\left(\frac{x}{2} \right)} + \sqrt{1 - 9 x^{2}} \sin{\left(\sqrt{x} \right)} \cos^{4}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 8 \sqrt{1 - 9 x^{2}} \sin{\left(\sqrt{x} \right)} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 16 \sqrt{1 - 9 x^{2}} \sin{\left(\sqrt{x} \right)} \tan{\left(\frac{x}{2} \right)}}{2 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{4}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 16 \sqrt{x} \sqrt{1 - 9 x^{2}} \cos^{2}{\left(x \right)} \tan{\left(\frac{x}{2} \right)} + 32 \sqrt{x} \sqrt{1 - 9 x^{2}} \tan{\left(\frac{x}{2} \right)}}

cos(sqrt(x))/2 + (8*sqrt(x)*sqrt(1 - 9*x^2)*tan(x/2) + 16*sqrt(1 - 9*x^2)*sin(sqrt(x))*tan(x/2) + sqrt(1 - 9*x^2)*cos(x)^4*sin(sqrt(x))*tan(x/2) + 2*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^2*tan(x/2) + 8*sqrt(x)*sqrt(1 - 9*x^2)*tan(x)^2*tan(x/2) + 8*sqrt(1 - 9*x^2)*cos(x)^2*sin(sqrt(x))*tan(x/2) + 16*sqrt(x)*sqrt(1 - 9*x^2)*tan(x/2)^asin(3*x)*asin(3*x) + 96*sqrt(x)*tan(x/2)^asin(3*x)*log(tan(x/2))*tan(x/2) + sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^4*tan(x/2)^asin(3*x)*asin(3*x) + 2*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^2*tan(x)^2*tan(x/2) + 6*sqrt(x)*cos(x)^4*tan(x/2)^asin(3*x)*log(tan(x/2))*tan(x/2) + 8*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^2*tan(x/2)^asin(3*x)*asin(3*x) + 48*sqrt(x)*cos(x)^2*tan(x/2)^asin(3*x)*log(tan(x/2))*tan(x/2) + 4*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)*sin(x)*tan(x)*tan(x/2))/(32*sqrt(x)*sqrt(1 - 9*x^2)*tan(x/2) + 2*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^4*tan(x/2) + 16*sqrt(x)*sqrt(1 - 9*x^2)*cos(x)^2*tan(x/2)) + tan(x/2)^asin(3*x)*asin(3*x)*tan(x/2)/2

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¿Cómo vas a descomponer esta cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3*x)*(3*log(tan(x/2))/sqrt(1-9*x^2)+(1/2+tan(x/2)^2/2)*asin(3*x)/tan(x/2))+sin(sqrt(x))/(2*sqrt(x))+2*cos(x)*sin(x)*tan(x)/(cos(x)^2+4)^2 expresión en fracciones?

Solución

¿Cómo vas a descomponer esta cos(sqrt(x))/2+(1+tan(x)^2)/(cos(x)^2+4)+tan(x/2)^asin(3x)(3log(tan(x/2))/sqrt(1-9x^2)+(1/2+tan(x/2)^2/2)asin(3x)/tan(x/2))+sin(sqrt(x))/(2sqrt(x))+2cos(x)sin(x)tan(x)/(cos(x)^2+4)^2 expresión en fracciones?