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Popular >

integral of x^{-1/5}

Solution

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

Solution

\frac{5}{4} x^{\frac{4}{5}} + C

Solution steps

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

Apply the Power Rule

: \frac{5}{4} x^{\frac{4}{5}}

= \frac{5}{4} x^{\frac{4}{5}}

Add a constant to the solution

= \frac{5}{4} x^{\frac{4}{5}} + C

Popular Examples

integral of (12)/(\sqrt[3]{10x+4)}-3

derivative of y=-7/((t+5)^2)derivative of

y = - \frac{7}{( t + 5 ) ^{2}}

integral of (x^4-4x^{-3}-5)

\int (x^{4} - 4 x^{- 3} - 5) d x

integral of x((1-x^2)^{3/2}-x^3)

\int x ((1 - x^{2})^{\frac{3}{2}} - x^{3}) d x

integral of 1/(x(5-x))

\int \frac{1}{x ( 5 - x )} d x

Frequently Asked Questions (FAQ)

What is the integral of x^{-1/5} ?
The integral of x^{-1/5} is 5/4 x^{4/5}+C