What is the integral from 1 to 32 of x^{-7/5} ?

The integral from 1 to 32 of x^{-7/5} is 15/8

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integral from 1 to 32 of x^{-7/5}

\int_{1}^{32} x^{- \frac{7}{5}} d x

\frac{15}{8}

Solution steps

\int_{1}^{32} x^{- \frac{7}{5}} d x

Apply the Power Rule

: [- \frac{5}{2 x ^{\frac{2}{5}}}]_{1}^{32}

= [- \frac{5}{2 x ^{\frac{2}{5}}}]_{1}^{32}

Compute the boundaries:

\frac{15}{8}

= \frac{15}{8}

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What is the integral from 1 to 32 of x^{-7/5} ?
The integral from 1 to 32 of x^{-7/5} is 15/8