What is the integral of \sqrt[6]{u} ?

The integral of \sqrt[6]{u} is 6/7 u^{7/6}+C

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integral of \sqrt[6]{u}

\frac{6}{7} u^{\frac{7}{6}} + C

Solution steps

Apply the Power Rule

: \frac{6}{7} u^{\frac{7}{6}}

= \frac{6}{7} u^{\frac{7}{6}}

Add a constant to the solution

= \frac{6}{7} u^{\frac{7}{6}} + C

\int 3 x^{2} e^{2 x} d x

n = 1 \sum \infty \frac{1}{n} \cdot x^{n}

\frac{d}{d x} (y x)

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y = \frac{- 6 x}{x ^{2} + 1}, (1, - 3)

What is the integral of \sqrt[6]{u} ?
The integral of \sqrt[6]{u} is 6/7 u^{7/6}+C