Learn how to solve definite integrals problems step by step online. Integrate the function cos(x)sin(x)^2 from 0 to pi. Simplify \cos\left(x\right)\sin\left(x\right)^2 into \cos\left(x\right)-\cos\left(x\right)^{3} by applying trigonometric identities. Expand the integral \int_{0}^{\pi }\left(\cos\left(x\right)-\cos\left(x\right)^{3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{\pi }\cos\left(x\right)dx results in: 0. The integral \int_{0}^{\pi }-\cos\left(x\right)^{3}dx results in: 0.

Integrate the function cos(x)sin(x)^2 from 0 to pi