What is the integral from 0 to pi of cos(x)sin^3(x) ?

The integral from 0 to pi of cos(x)sin^3(x) is 0

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integral from 0 to pi of cos(x)sin^3(x)

\int_{0}^{π} cos (x) sin^{3} (x) d x

0

Solution steps

\int_{0}^{π} cos (x) sin^{3} (x) d x

Compute the indefinite integral:

\int cos (x) sin^{3} (x) d x = \frac{sin ^{4} ( x )}{4} + C

Compute the boundaries:

\int_{0}^{π} cos (x) sin^{3} (x) d x = 0 - 0

= 0 - 0

Simplify

= 0

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\int_{0}^{\frac{π}{3}} sec^{2} (θ) d θ

\int_{- 1}^{2} x^{2} + x - 2 d x

\int_{- 1}^{2} y^{2} d y

What is the integral from 0 to pi of cos(x)sin^3(x) ?
The integral from 0 to pi of cos(x)sin^3(x) is 0