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Popular >

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}}

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

Add a constant to the solution

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

Popular Examples

integral of 54x

\int 54 x d x

integral of 5cos^3(4x)

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

derivative of x^{2/3}+1

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

integral of-tcos(t)

\int - t cos (t) d t

tangent of f(x)= 1/(x^2),(1,1)tangent of

f (x) = \frac{1}{x ^{2}}, (1, 1)

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