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

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}

x \to 0 lim (cos (\frac{2}{x}))

t + 3

\int e^{- 3 x} (sin (2 x) - cos (2 x)) d x

n = 0 \sum \infty n (n + 1) x^{n}

\int \frac{1}{x - 1} d x

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