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

The integral from-pi/2 to pi/2 of x^2 is (pi^3)/(12)

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

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

\frac{π ^{3}}{12}

Decimal

2.58385 \dots

Solution steps

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

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- \frac{π}{2}}^{\frac{π}{2}}

= [\frac{x ^{3}}{3}]_{- \frac{π}{2}}^{\frac{π}{2}}

Compute the boundaries:

\frac{π ^{3}}{12}

= \frac{π ^{3}}{12}

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

\int_{- 4}^{7} 1

\int_{0}^{1} 9 t + 4 d t

\int_{1}^{2} (3 x^{2} - 2 x + 4) d x

\int_{- 2}^{5} x d x

What is the integral from-pi/2 to pi/2 of x^2 ?
The integral from-pi/2 to pi/2 of x^2 is (pi^3)/(12)