What is the integral from 0 to 1 of (x^{4/5}) ?

The integral from 0 to 1 of (x^{4/5}) is 5/9

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integral from 0 to 1 of (x^{4/5})

\int_{0}^{1} (x^{\frac{4}{5}}) d x

\frac{5}{9}

Decimal Notation

0.55555 \dots

Solution steps

\int_{0}^{1} x^{\frac{4}{5}} d x

Apply the Power Rule

: [\frac{5}{9} x^{\frac{9}{5}}]_{0}^{1}

= [\frac{5}{9} x^{\frac{9}{5}}]_{0}^{1}

Compute the boundaries:

\frac{5}{9}

= \frac{5}{9}

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x^{2} + 4 x + 6

\int x^{2} ln (x^{2}) d x

What is the integral from 0 to 1 of (x^{4/5}) ?
The integral from 0 to 1 of (x^{4/5}) is 5/9