Sr Examen
Integral de -576sin(x)^4*cos(x)^2 dx
Solución
Ha introducido
[src]
pi -- 6 / | | 4 2 | -576*sin (x)*cos (x) dx | / 0
$$\int\limits_{0}^{\frac{\pi}{6}} - 576 \sin^{4}{\left(x \right)} \cos^{2}{\left(x \right)}\, dx$$
Integral((-576*sin(x)^4)*cos(x)^2, (x, 0, pi/6))
Respuesta (Indefinida)
[src]
/ | | 4 2 6 6 5 5 3 3 2 4 4 2 | -576*sin (x)*cos (x) dx = C - 36*x*cos (x) - 36*x*sin (x) - 36*sin (x)*cos(x) + 36*cos (x)*sin(x) + 96*cos (x)*sin (x) - 108*x*cos (x)*sin (x) - 108*x*cos (x)*sin (x) | /
$$\int - 576 \sin^{4}{\left(x \right)} \cos^{2}{\left(x \right)}\, dx = C - 36 x \sin^{6}{\left(x \right)} - 108 x \sin^{4}{\left(x \right)} \cos^{2}{\left(x \right)} - 108 x \sin^{2}{\left(x \right)} \cos^{4}{\left(x \right)} - 36 x \cos^{6}{\left(x \right)} - 36 \sin^{5}{\left(x \right)} \cos{\left(x \right)} + 96 \sin^{3}{\left(x \right)} \cos^{3}{\left(x \right)} + 36 \sin{\left(x \right)} \cos^{5}{\left(x \right)}$$
Gráfica
Respuesta
[src]
___ -6*pi + 9*\/ 3
$$- 6 \pi + 9 \sqrt{3}$$
=
=
___ -6*pi + 9*\/ 3
$$- 6 \pi + 9 \sqrt{3}$$
-6*pi + 9*sqrt(3)
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.