What is the integral from 1 to 32 of x^{(-6)/5} ?

The integral from 1 to 32 of x^{(-6)/5} is 5/2

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integral from 1 to 32 of x^{(-6)/5}

\int_{1}^{32} x^{\frac{- 6}{5}} d x

\frac{5}{2}

Decimal

2.5

Solution steps

\int_{1}^{32} x^{\frac{- 6}{5}} d x

Apply the Power Rule

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

Compute the boundaries:

\frac{5}{2}

= \frac{5}{2}

What is the integral from 1 to 32 of x^{(-6)/5} ?
The integral from 1 to 32 of x^{(-6)/5} is 5/2