What is the integral from 0 to pi of sin^2(x)*cos(x) ?

The integral from 0 to pi of sin^2(x)*cos(x) is 0

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integral from 0 to pi of sin^2(x)*cos(x)

\int_{0}^{π} sin^{2} (x) \cdot cos (x) d x

0

Solution steps

\int_{0}^{π} sin^{2} (x) cos (x) d x

Compute the indefinite integral:

\int sin^{2} (x) cos (x) d x = \frac{sin ^{3} ( x )}{3} + C

Compute the boundaries:

\int_{0}^{π} sin^{2} (x) cos (x) d x = 0 - 0

= 0 - 0

Simplify

= 0

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What is the integral from 0 to pi of sin^2(x)*cos(x) ?
The integral from 0 to pi of sin^2(x)*cos(x) is 0