What is the integral from 1 to 32 of x^{-8/5} ?

The integral from 1 to 32 of x^{-8/5} is 35/24

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integral from 1 to 32 of x^{-8/5}

\int_{1}^{32} x^{- \frac{8}{5}} d x

\frac{35}{24}

Decimal Notation

1.45833 \dots

Solution steps

\int_{1}^{32} x^{- \frac{8}{5}} d x

Apply the Power Rule

: [- \frac{5}{3 x ^{\frac{3}{5}}}]_{1}^{32}

= [- \frac{5}{3 x ^{\frac{3}{5}}}]_{1}^{32}

Compute the boundaries:

\frac{35}{24}

= \frac{35}{24}

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What is the integral from 1 to 32 of x^{-8/5} ?
The integral from 1 to 32 of x^{-8/5} is 35/24