What is the integral from 1 to 8 of x^{-1/3} ?

The integral from 1 to 8 of x^{-1/3} is 9/2

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integral from 1 to 8 of x^{-1/3}

\int_{1}^{8} x^{- \frac{1}{3}} d x

\frac{9}{2}

Decimal

4.5

Solution steps

\int_{1}^{8} x^{- \frac{1}{3}} d x

Apply the Power Rule

= [\frac{3}{2} x^{\frac{2}{3}}]_{1}^{8}

Compute the boundaries:

\frac{9}{2}

= \frac{9}{2}

What is the integral from 1 to 8 of x^{-1/3} ?
The integral from 1 to 8 of x^{-1/3} is 9/2