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Popular Calculus >

integral of x^{-1/6}

Solution

\int x^{- \frac{1}{6}} d x

Solution

\frac{6}{5} x^{\frac{5}{6}} + C

Solution steps

\int x^{- \frac{1}{6}} d x

Apply the Power Rule

= \frac{6}{5} x^{\frac{5}{6}}

Add a constant to the solution

= \frac{6}{5} x^{\frac{5}{6}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^{-1/6} ?
The integral of x^{-1/6} is 6/5 x^{5/6}+C