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

The integral from-pi/2 to pi/2 of x^4 is (pi^5)/(80)

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

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

\frac{π ^{5}}{80}

Decimal

3.82524 \dots

Solution steps

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

Apply the Power Rule

: [\frac{x ^{5}}{5}]_{- \frac{π}{2}}^{\frac{π}{2}}

= [\frac{x ^{5}}{5}]_{- \frac{π}{2}}^{\frac{π}{2}}

Compute the boundaries:

\frac{π ^{5}}{80}

= \frac{π ^{5}}{80}

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What is the integral from-pi/2 to pi/2 of x^4 ?
The integral from-pi/2 to pi/2 of x^4 is (pi^5)/(80)