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