What is the integral from 0 to 16 of 1/(\sqrt[4]{x)} ?

The integral from 0 to 16 of 1/(\sqrt[4]{x)} is 32/3

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integral from 0 to 16 of 1/(\sqrt[4]{x)}

\frac{32}{3}

Decimal Notation

10.66666 \dots

Solution steps

Apply the Power Rule

: [\frac{4}{3} x^{\frac{3}{4}}]_{0}^{16}

= [\frac{4}{3} x^{\frac{3}{4}}]_{0}^{16}

Compute the boundaries:

\frac{32}{3}

= \frac{32}{3}

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What is the integral from 0 to 16 of 1/(\sqrt[4]{x)} ?
The integral from 0 to 16 of 1/(\sqrt[4]{x)} is 32/3