What is the integral from 1 to 64 of (x^{-5/6}) ?

The integral from 1 to 64 of (x^{-5/6}) is 6

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integral from 1 to 64 of (x^{-5/6})

\int_{1}^{64} (x^{- \frac{5}{6}}) d x

6

Solution steps

\int_{1}^{64} x^{- \frac{5}{6}} d x

Apply the Power Rule

: [6 x^{\frac{1}{6}}]_{1}^{64}

= [6 x^{\frac{1}{6}}]_{1}^{64}

Compute the boundaries:

6

= 6

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What is the integral from 1 to 64 of (x^{-5/6}) ?
The integral from 1 to 64 of (x^{-5/6}) is 6