Simplificación general
[src]
28 + 8*x 4*x
2*atan(7 + 2*x) - ---------------- + --------------
4 2
2 + 2*(7 + 2*x) 1 + (7 + 2*x)
$$\frac{4 x}{\left(2 x + 7\right)^{2} + 1} - \frac{8 x + 28}{2 \left(2 x + 7\right)^{4} + 2} + 2 \operatorname{atan}{\left(2 x + 7 \right)}$$
2*atan(7 + 2*x) - (28 + 8*x)/(2 + 2*(7 + 2*x)^4) + 4*x/(1 + (7 + 2*x)^2)
2.0*atan(2*x + 7) - (28.0 + 8.0*x)/(2.0 + 4802.0*(1 + 0.285714285714286*x)^4) + 4.0*x/(1.0 + 49.0*(1 + 0.285714285714286*x)^2)
2.0*atan(2*x + 7) - (28.0 + 8.0*x)/(2.0 + 4802.0*(1 + 0.285714285714286*x)^4) + 4.0*x/(1.0 + 49.0*(1 + 0.285714285714286*x)^2)
Parte trigonométrica
[src]
28 + 8*x 4*x
2*atan(7 + 2*x) - ---------------- + --------------
4 2
2 + 2*(7 + 2*x) 1 + (7 + 2*x)
$$\frac{4 x}{\left(2 x + 7\right)^{2} + 1} - \frac{8 x + 28}{2 \left(2 x + 7\right)^{4} + 2} + 2 \operatorname{atan}{\left(2 x + 7 \right)}$$
2*atan(7 + 2*x) - (28 + 8*x)/(2 + 2*(7 + 2*x)^4) + 4*x/(1 + (7 + 2*x)^2)
28 + 8*x 4*x
2*atan(7 + 2*x) - ---------------- + --------------
4 2
2 + 2*(7 + 2*x) 1 + (7 + 2*x)
$$\frac{4 x}{\left(2 x + 7\right)^{2} + 1} - \frac{8 x + 28}{2 \left(2 x + 7\right)^{4} + 2} + 2 \operatorname{atan}{\left(2 x + 7 \right)}$$
-28 - 8*x 4*x
2*atan(7 + 2*x) + ---------------- + --------------
4 2
2 + 2*(7 + 2*x) 1 + (7 + 2*x)
$$\frac{4 x}{\left(2 x + 7\right)^{2} + 1} + \frac{- 8 x - 28}{2 \left(2 x + 7\right)^{4} + 2} + 2 \operatorname{atan}{\left(2 x + 7 \right)}$$
2*atan(7 + 2*x) + (-28 - 8*x)/(2 + 2*(7 + 2*x)^4) + 4*x/(1 + (7 + 2*x)^2)
Compilar la expresión
[src]
28 + 8*x 4*x
2*atan(2*x + 7) - ---------------- + --------------
4 2
2 + 2*(7 + 2*x) 1 + (7 + 2*x)
$$\frac{4 x}{\left(2 x + 7\right)^{2} + 1} - \frac{8 x + 28}{2 \left(2 x + 7\right)^{4} + 2} + 2 \operatorname{atan}{\left(2 x + 7 \right)}$$
2*atan(2*x + 7) - (28 + 8*x)/(2 + 2*(7 + 2*x)^4) + 4*x/(1 + (7 + 2*x)^2)
Unión de expresiones racionales
[src]
// 4\ / / 2\ \ / 2\ \
2*\\1 + (7 + 2*x) /*\2*x + \1 + (7 + 2*x) /*atan(7 + 2*x)/ - \1 + (7 + 2*x) /*(7 + 2*x)/
----------------------------------------------------------------------------------------
/ 2\ / 4\
\1 + (7 + 2*x) /*\1 + (7 + 2*x) /
$$\frac{2 \left(- \left(2 x + 7\right) \left(\left(2 x + 7\right)^{2} + 1\right) + \left(2 x + \left(\left(2 x + 7\right)^{2} + 1\right) \operatorname{atan}{\left(2 x + 7 \right)}\right) \left(\left(2 x + 7\right)^{4} + 1\right)\right)}{\left(\left(2 x + 7\right)^{2} + 1\right) \left(\left(2 x + 7\right)^{4} + 1\right)}$$
2*((1 + (7 + 2*x)^4)*(2*x + (1 + (7 + 2*x)^2)*atan(7 + 2*x)) - (1 + (7 + 2*x)^2)*(7 + 2*x))/((1 + (7 + 2*x)^2)*(1 + (7 + 2*x)^4))
5 4 3 2 6 5 4 3 2
-175 + 16*x + 224*x + 1172*x + 2254*x + 2702*x + 60050*atan(7 + 2*x) + 32*x *atan(7 + 2*x) + 672*x *atan(7 + 2*x) + 5888*x *atan(7 + 2*x) + 27552*x *atan(7 + 2*x) + 72620*x *atan(7 + 2*x) + 102228*x*atan(7 + 2*x)
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 \ / 4 3 2 \
\25 + 2*x + 14*x/*\1201 + 8*x + 112*x + 588*x + 1372*x/
$$\frac{32 x^{6} \operatorname{atan}{\left(2 x + 7 \right)} + 672 x^{5} \operatorname{atan}{\left(2 x + 7 \right)} + 16 x^{5} + 5888 x^{4} \operatorname{atan}{\left(2 x + 7 \right)} + 224 x^{4} + 27552 x^{3} \operatorname{atan}{\left(2 x + 7 \right)} + 1172 x^{3} + 72620 x^{2} \operatorname{atan}{\left(2 x + 7 \right)} + 2702 x^{2} + 102228 x \operatorname{atan}{\left(2 x + 7 \right)} + 2254 x + 60050 \operatorname{atan}{\left(2 x + 7 \right)} - 175}{\left(2 x^{2} + 14 x + 25\right) \left(8 x^{4} + 112 x^{3} + 588 x^{2} + 1372 x + 1201\right)}$$
(-175 + 16*x^5 + 224*x^4 + 1172*x^3 + 2254*x + 2702*x^2 + 60050*atan(7 + 2*x) + 32*x^6*atan(7 + 2*x) + 672*x^5*atan(7 + 2*x) + 5888*x^4*atan(7 + 2*x) + 27552*x^3*atan(7 + 2*x) + 72620*x^2*atan(7 + 2*x) + 102228*x*atan(7 + 2*x))/((25 + 2*x^2 + 14*x)*(1201 + 8*x^4 + 112*x^3 + 588*x^2 + 1372*x))
5 4 3 2
-175 + 16*x + 224*x + 1172*x + 2254*x + 2702*x
2*atan(7 + 2*x) + ----------------------------------------------------------------
6 5 4 3 2
30025 + 16*x + 336*x + 2944*x + 13776*x + 36310*x + 51114*x
$$\frac{16 x^{5} + 224 x^{4} + 1172 x^{3} + 2702 x^{2} + 2254 x - 175}{16 x^{6} + 336 x^{5} + 2944 x^{4} + 13776 x^{3} + 36310 x^{2} + 51114 x + 30025} + 2 \operatorname{atan}{\left(2 x + 7 \right)}$$
2*atan(7 + 2*x) + (-175 + 16*x^5 + 224*x^4 + 1172*x^3 + 2254*x + 2702*x^2)/(30025 + 16*x^6 + 336*x^5 + 2944*x^4 + 13776*x^3 + 36310*x^2 + 51114*x)
Abrimos la expresión
[src]
4*x 28 + 8*x
-------------- + atan(2*x + 7)*2 - ------------------
2 / 4\
1 + (2*x + 7) 2*\1 + (2*x + 7) /
$$\frac{4 x}{\left(2 x + 7\right)^{2} + 1} - \frac{8 x + 28}{2 \left(\left(2 x + 7\right)^{4} + 1\right)} + 2 \operatorname{atan}{\left(2 x + 7 \right)}$$
(4*x)/(1 + (2*x + 7)^2) + atan(2*x + 7)*2 - (28 + 8*x)/(2*(1 + (2*x + 7)^4))
Denominador racional
[src]
2 2 2 4 6 4
-28 - 28*(7 + 2*x) + 4*atan(7 + 2*x) - 8*x*(7 + 2*x) + 4*(7 + 2*x) *atan(7 + 2*x) + 4*(7 + 2*x) *atan(7 + 2*x) + 4*(7 + 2*x) *atan(7 + 2*x) + 8*x*(7 + 2*x)
--------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 2 \ / 4 3 2 \
\50 + 4*x + 28*x/*\4804 + 32*x + 448*x + 2352*x + 5488*x/
$$\frac{8 x \left(2 x + 7\right)^{4} - 8 x \left(2 x + 7\right)^{2} + 4 \left(2 x + 7\right)^{6} \operatorname{atan}{\left(2 x + 7 \right)} + 4 \left(2 x + 7\right)^{4} \operatorname{atan}{\left(2 x + 7 \right)} + 4 \left(2 x + 7\right)^{2} \operatorname{atan}{\left(2 x + 7 \right)} - 28 \left(2 x + 7\right)^{2} + 4 \operatorname{atan}{\left(2 x + 7 \right)} - 28}{\left(4 x^{2} + 28 x + 50\right) \left(32 x^{4} + 448 x^{3} + 2352 x^{2} + 5488 x + 4804\right)}$$
(-28 - 28*(7 + 2*x)^2 + 4*atan(7 + 2*x) - 8*x*(7 + 2*x)^2 + 4*(7 + 2*x)^2*atan(7 + 2*x) + 4*(7 + 2*x)^4*atan(7 + 2*x) + 4*(7 + 2*x)^6*atan(7 + 2*x) + 8*x*(7 + 2*x)^4)/((50 + 4*x^2 + 28*x)*(4804 + 32*x^4 + 448*x^3 + 2352*x^2 + 5488*x))