What is the integral from 0 to 1 of 5\sqrt[5]{x} ?

The integral from 0 to 1 of 5\sqrt[5]{x} is 25/6

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integral from 0 to 1 of 5\sqrt[5]{x}

\frac{25}{6}

Decimal Notation

4.16666 \dots

Solution steps

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

Apply the Power Rule

: [\frac{5}{6} x^{\frac{6}{5}}]_{0}^{1}

= 5 [\frac{5}{6} x^{\frac{6}{5}}]_{0}^{1}

Compute the boundaries:

\frac{5}{6}

= 5 \cdot \frac{5}{6}

Simplify

= \frac{25}{6}

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What is the integral from 0 to 1 of 5\sqrt[5]{x} ?
The integral from 0 to 1 of 5\sqrt[5]{x} is 25/6