What is the integral of 8/(\sqrt[3]{x)} ?

The integral of 8/(\sqrt[3]{x)} is 12x^{2/3}+C

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integral of 8/(\sqrt[3]{x)}

12 x^{\frac{2}{3}} + 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{3}{2} x^{\frac{2}{3}}

= 8 \cdot \frac{3}{2} x^{\frac{2}{3}}

Simplify

8 \cdot \frac{3}{2} x^{\frac{2}{3}} : 12 x^{\frac{2}{3}}

= 12 x^{\frac{2}{3}}

Add a constant to the solution

= 12 x^{\frac{2}{3}} + C

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What is the integral of 8/(\sqrt[3]{x)} ?
The integral of 8/(\sqrt[3]{x)} is 12x^{2/3}+C