Sr Examen

Otras calculadoras

Resolución de integrales/ sin(2*x)/ cos(x)/ 2*cos(x)^3*3*Abs(sin(2*x))

Integral de 2*cos(x)^3*3*Abs(sin(2*x)) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1                          
  /                          
 |                           
 |       3                   
 |  2*cos (x)*3*|sin(2*x)| dx
 |                           
/                            
0
∫013⋅2cos⁡3(x)∣sin⁡(2x)∣ dx\int\limits_{0}^{1} 3 \cdot 2 \cos^{3}{\left(x \right)} \left|{\sin{\left(2 x \right)}}\right|\, dx 
Integral(((2*cos(x)^3)*3)*Abs(sin(2*x)), (x, 0, 1))
Respuesta [src] 
           3                   3                   2                         2                 
12   12*cos (1)*cos(2)   12*sin (1)*sin(2)   24*sin (1)*cos(1)*cos(2)   6*cos (1)*sin(1)*sin(2)
-- - ----------------- - ----------------- - ------------------------ + -----------------------
5            5                   5                      5                          5
−12sin⁡3(1)sin⁡(2)5−12cos⁡3(1)cos⁡(2)5+6sin⁡(1)sin⁡(2)cos⁡2(1)5−24sin⁡2(1)cos⁡(1)cos⁡(2)5+125- \frac{12 \sin^{3}{\left(1 \right)} \sin{\left(2 \right)}}{5} - \frac{12 \cos^{3}{\left(1 \right)} \cos{\left(2 \right)}}{5} + \frac{6 \sin{\left(1 \right)} \sin{\left(2 \right)} \cos^{2}{\left(1 \right)}}{5} - \frac{24 \sin^{2}{\left(1 \right)} \cos{\left(1 \right)} \cos{\left(2 \right)}}{5} + \frac{12}{5} 
=
= 
           3                   3                   2                         2                 
12   12*cos (1)*cos(2)   12*sin (1)*sin(2)   24*sin (1)*cos(1)*cos(2)   6*cos (1)*sin(1)*sin(2)
-- - ----------------- - ----------------- - ------------------------ + -----------------------
5            5                   5                      5                          5
−12sin⁡3(1)sin⁡(2)5−12cos⁡3(1)cos⁡(2)5+6sin⁡(1)sin⁡(2)cos⁡2(1)5−24sin⁡2(1)cos⁡(1)cos⁡(2)5+125- \frac{12 \sin^{3}{\left(1 \right)} \sin{\left(2 \right)}}{5} - \frac{12 \cos^{3}{\left(1 \right)} \cos{\left(2 \right)}}{5} + \frac{6 \sin{\left(1 \right)} \sin{\left(2 \right)} \cos^{2}{\left(1 \right)}}{5} - \frac{24 \sin^{2}{\left(1 \right)} \cos{\left(1 \right)} \cos{\left(2 \right)}}{5} + \frac{12}{5} 
12/5 - 12*cos(1)^3*cos(2)/5 - 12*sin(1)^3*sin(2)/5 - 24*sin(1)^2*cos(1)*cos(2)/5 + 6*cos(1)^2*sin(1)*sin(2)/5
Respuesta numérica [src] 
2.28949158582864
2.28949158582864

    Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.

    © Sr Examen – Калькулятор