What is the integral from 0 to 32 of \sqrt[5]{x} ?

The integral from 0 to 32 of \sqrt[5]{x} is 160/3

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integral from 0 to 32 of \sqrt[5]{x}

\int_{0}^{32} 5 x d x

\frac{160}{3}

Decimal

53.33333 \dots

Solution steps

\int_{0}^{32} 5 x d x

Apply the Power Rule

: [\frac{5}{6} x^{\frac{6}{5}}]_{0}^{32}

= [\frac{5}{6} x^{\frac{6}{5}}]_{0}^{32}

Compute the boundaries:

\frac{160}{3}

= \frac{160}{3}

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What is the integral from 0 to 32 of \sqrt[5]{x} ?
The integral from 0 to 32 of \sqrt[5]{x} is 160/3