What is the integral of 1/(\sqrt[3]{u)} ?

The integral of 1/(\sqrt[3]{u)} is 3/2 u^{2/3}+C

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integral of 1/(\sqrt[3]{u)}

\frac{3}{2} u^{\frac{2}{3}} + C

Solution steps

Apply the Power Rule

: \frac{3}{2} u^{\frac{2}{3}}

= \frac{3}{2} u^{\frac{2}{3}}

Add a constant to the solution

= \frac{3}{2} u^{\frac{2}{3}} + C

f (x) = \frac{2 x}{( x ^{3} - 8 ) ^{2}}

cos (x^{4})

(- sin (3 x) \cdot 3)^{^{'}}

x \to \infty lim (\frac{( e ^{2 x} )}{x ^{2}})

\frac{d y}{d x} = \frac{x}{y} + \frac{y}{x}

What is the integral of 1/(\sqrt[3]{u)} ?
The integral of 1/(\sqrt[3]{u)} is 3/2 u^{2/3}+C