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Popular Calculus >

integral of x^{1/5}

Solution

\int x^{\frac{1}{5}} d x

Solution

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

Solution steps

\int x^{\frac{1}{5}} d x

Apply the Power Rule

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

Add a constant to the solution

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

Graph

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\frac{d}{d x} (\frac{10}{x ^{2} - 4 x + 1})

integral of 4x-4

\int 4 x - 4 d x

Frequently Asked Questions (FAQ)

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