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 Notation

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}

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

Compute the boundaries:

\frac{5}{2}

= \frac{5}{2}

\frac{d}{d x} (e^{x^{- 1}})

\frac{d}{d x} (3 x (6 x - 5 x^{2}))

\frac{d}{d x} ((80 e^{- \frac{x}{10}}) - 40 x)

x^{2} - 2 x, 3 x + 6

x \to 3 lim (- 3)

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