What is the integral from-pi/4 to pi/4 of x^2 ?

The integral from-pi/4 to pi/4 of x^2 is (pi^3)/(96)

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integral from-pi/4 to pi/4 of x^2

\int_{- \frac{π}{4}}^{\frac{π}{4}} x^{2} d x

\frac{π ^{3}}{96}

Decimal

0.32298 \dots

Solution steps

\int_{- \frac{π}{4}}^{\frac{π}{4}} x^{2} d x

Apply the Power Rule

= [\frac{x ^{3}}{3}]_{- \frac{π}{4}}^{\frac{π}{4}}

Compute the boundaries:

\frac{π ^{3}}{96}

= \frac{π ^{3}}{96}

What is the integral from-pi/4 to pi/4 of x^2 ?
The integral from-pi/4 to pi/4 of x^2 is (pi^3)/(96)