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

The integral from 0 to 1 of x^{-1/4} is 4/3

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integral from 0 to 1 of x^{-1/4}

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

\frac{4}{3}

Decimal Notation

1.33333 \dots

Solution steps

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

Apply the Power Rule

: [\frac{4}{3} x^{\frac{3}{4}}]_{0}^{1}

= [\frac{4}{3} x^{\frac{3}{4}}]_{0}^{1}

Compute the boundaries:

\frac{4}{3}

= \frac{4}{3}

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What is the integral from 0 to 1 of x^{-1/4} ?
The integral from 0 to 1 of x^{-1/4} is 4/3