What is the integral from 3 to 4 of x^{pi-1} ?

The integral from 3 to 4 of x^{pi-1} is (4^pi-3^pi)/pi

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integral from 3 to 4 of x^{pi-1}

\int_{3}^{4} x^{π - 1} d x

\frac{4 ^{π} - 3 ^{π}}{π}

Decimal

14.74919 \dots

Solution steps

\int_{3}^{4} x^{π - 1} d x

Apply the Power Rule

: [\frac{1}{π} x^{π}]_{3}^{4}

= [\frac{1}{π} x^{π}]_{3}^{4}

Compute the boundaries:

\frac{4 ^{π} - 3 ^{π}}{π}

= \frac{4 ^{π} - 3 ^{π}}{π}

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What is the integral from 3 to 4 of x^{pi-1} ?
The integral from 3 to 4 of x^{pi-1} is (4^pi-3^pi)/pi