What is the integral of 2/(\sqrt[6]{x)} ?

The integral of 2/(\sqrt[6]{x)} is 12/5 x^{5/6}+C

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integral of 2/(\sqrt[6]{x)}

\frac{12}{5} x^{\frac{5}{6}} + C

Solution steps

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

Apply the Power Rule

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

= 2 \cdot \frac{6}{5} x^{\frac{5}{6}}

Simplify

2 \cdot \frac{6}{5} x^{\frac{5}{6}} : \frac{12}{5} x^{\frac{5}{6}}

= \frac{12}{5} x^{\frac{5}{6}}

Add a constant to the solution

= \frac{12}{5} x^{\frac{5}{6}} + C

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What is the integral of 2/(\sqrt[6]{x)} ?
The integral of 2/(\sqrt[6]{x)} is 12/5 x^{5/6}+C