What is the integral from 0 to 2pi of sin^3(x)cos(x) ?

The integral from 0 to 2pi of sin^3(x)cos(x) is 0

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integral from 0 to 2pi of sin^3(x)cos(x)

\int_{0}^{2 π} sin^{3} (x) cos (x) d x

0

Solution steps

\int_{0}^{2 π} sin^{3} (x) cos (x) d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{0}^{2 π} sin^{3} (x) cos (x) d x = 0 - 0

= 0 - 0

Simplify

= 0

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\int_{2}^{14} 3 x + 5 d x

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What is the integral from 0 to 2pi of sin^3(x)cos(x) ?
The integral from 0 to 2pi of sin^3(x)cos(x) is 0