What is the integral from 0 to pi of x^3 ?

The integral from 0 to pi of x^3 is (pi^4)/4

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integral from 0 to pi of x^3

\int_{0}^{π} x^{3} d x

\frac{π ^{4}}{4}

Decimal

24.35227 \dots

Solution steps

\int_{0}^{π} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{0}^{π}

= [\frac{x ^{4}}{4}]_{0}^{π}

Compute the boundaries:

\frac{π ^{4}}{4}

= \frac{π ^{4}}{4}

\int_{0}^{0.5} 1 - x^{2} d x

\int_{- \infty}^{- 1} e^{- x} d x

\int_{0}^{1} 6 x (x^{2} + 1)^{2} d x

\int_{- 1}^{3} 2 d x

\int_{1}^{\infty} 2 x d x

What is the integral from 0 to pi of x^3 ?
The integral from 0 to pi of x^3 is (pi^4)/4