What is the integral from 5 to 7 of x^{pi-1} ?

The integral from 5 to 7 of x^{pi-1} is (7^pi-5^pi)/pi

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integral from 5 to 7 of x^{pi-1}

\int_{5}^{7} x^{π - 1} d x

\frac{7 ^{π} - 5 ^{π}}{π}

Decimal

93.84263 \dots

Solution steps

\int_{5}^{7} x^{π - 1} d x

Apply the Power Rule

: [\frac{1}{π} x^{π}]_{5}^{7}

= [\frac{1}{π} x^{π}]_{5}^{7}

Compute the boundaries:

\frac{7 ^{π} - 5 ^{π}}{π}

= \frac{7 ^{π} - 5 ^{π}}{π}

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What is the integral from 5 to 7 of x^{pi-1} ?
The integral from 5 to 7 of x^{pi-1} is (7^pi-5^pi)/pi