What is the integral from 4 to 9 of x^{pi-1} ?

The integral from 4 to 9 of x^{pi-1} is (9^pi-4^pi)/pi

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integral from 4 to 9 of x^{pi-1}

\int_{4}^{9} x^{π - 1} d x

\frac{9 ^{π} - 4 ^{π}}{π}

Decimal

291.94154 \dots

Solution steps

\int_{4}^{9} x^{π - 1} d x

Apply the Power Rule

: [\frac{1}{π} x^{π}]_{4}^{9}

= [\frac{1}{π} x^{π}]_{4}^{9}

Compute the boundaries:

\frac{9 ^{π} - 4 ^{π}}{π}

= \frac{9 ^{π} - 4 ^{π}}{π}

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What is the integral from 4 to 9 of x^{pi-1} ?
The integral from 4 to 9 of x^{pi-1} is (9^pi-4^pi)/pi