Sr Examen
Integral de 96*sin(x)^4*cos(x)^2 dx
Solución
Ha introducido
[src]
pi -- 6 / | | 4 2 | 96*sin (x)*cos (x) dx | / 0
$$\int\limits_{0}^{\frac{\pi}{6}} 96 \sin^{4}{\left(x \right)} \cos^{2}{\left(x \right)}\, dx$$
Integral((96*sin(x)^4)*cos(x)^2, (x, 0, pi/6))
Respuesta (Indefinida)
[src]
/ | | 4 2 3 3 5 6 6 5 2 4 4 2 | 96*sin (x)*cos (x) dx = C - 16*cos (x)*sin (x) - 6*cos (x)*sin(x) + 6*x*cos (x) + 6*x*sin (x) + 6*sin (x)*cos(x) + 18*x*cos (x)*sin (x) + 18*x*cos (x)*sin (x) | /
$$\int 96 \sin^{4}{\left(x \right)} \cos^{2}{\left(x \right)}\, dx = C + 6 x \sin^{6}{\left(x \right)} + 18 x \sin^{4}{\left(x \right)} \cos^{2}{\left(x \right)} + 18 x \sin^{2}{\left(x \right)} \cos^{4}{\left(x \right)} + 6 x \cos^{6}{\left(x \right)} + 6 \sin^{5}{\left(x \right)} \cos{\left(x \right)} - 16 \sin^{3}{\left(x \right)} \cos^{3}{\left(x \right)} - 6 \sin{\left(x \right)} \cos^{5}{\left(x \right)}$$
Gráfica
Respuesta
[src]
___
3*\/ 3
pi - -------
2
$$\pi - \frac{3 \sqrt{3}}{2}$$
=
=
___
3*\/ 3
pi - -------
2
$$\pi - \frac{3 \sqrt{3}}{2}$$
pi - 3*sqrt(3)/2
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.