What is the integral from-pi to 0 of x^2 ?

The integral from-pi to 0 of x^2 is (pi^3)/3

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integral from-pi to 0 of x^2

\int_{- π}^{0} x^{2} d x

\frac{π ^{3}}{3}

Decimal

10.33542 \dots

Solution steps

\int_{- π}^{0} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- π}^{0}

= [\frac{x ^{3}}{3}]_{- π}^{0}

Compute the boundaries:

\frac{π ^{3}}{3}

= \frac{π ^{3}}{3}

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