What is the integral from 1 to 32 of x^{-9/5} ?

The integral from 1 to 32 of x^{-9/5} is 75/64

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integral from 1 to 32 of x^{-9/5}

\int_{1}^{32} x^{- \frac{9}{5}} d x

\frac{75}{64}

Decimal

1.171875

Solution steps

\int_{1}^{32} x^{- \frac{9}{5}} d x

Apply the Power Rule

= [- \frac{5}{4 x ^{\frac{4}{5}}}]_{1}^{32}

Compute the boundaries:

\frac{75}{64}

= \frac{75}{64}

What is the integral from 1 to 32 of x^{-9/5} ?
The integral from 1 to 32 of x^{-9/5} is 75/64