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

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

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

\int \frac{1}{3 v} d v

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

Solution steps

\int \frac{1}{3 v} d v

Apply the Power Rule

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

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

Add a constant to the solution

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

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