What is the integral of \sqrt[8]{x} ?

The integral of \sqrt[8]{x} is 8/9 x^{9/8}+C

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integral of \sqrt[8]{x}

\frac{8}{9} x^{\frac{9}{8}} + C

Solution steps

Apply the Power Rule

: \frac{8}{9} x^{\frac{9}{8}}

= \frac{8}{9} x^{\frac{9}{8}}

Add a constant to the solution

= \frac{8}{9} x^{\frac{9}{8}} + C

\int \frac{9}{3 + 9 x} d x

\int \frac{1}{1 - 4 y} d y

(x + 1)^{3} (1 - x)

\frac{d}{d x} (5 e^{x} sin (x))

s (t) = t^{3} - 5 t^{2} - 3 t + 8

What is the integral of \sqrt[8]{x} ?
The integral of \sqrt[8]{x} is 8/9 x^{9/8}+C