What is the integral of (\sqrt[3]{2x})/(sqrt(3x)) ?

The integral of (\sqrt[3]{2x})/(sqrt(3x)) is (2\sqrt[3]{2}sqrt(3))/5 x^{5/6}+C

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integral of (\sqrt[3]{2x})/(sqrt(3x))

Solution steps

Simplify

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}}

Simplify

Add a constant to the solution

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\int \frac{7}{2 + x - 4} d x

\int \frac{a}{a ^{2} - x ^{2}} d x

What is the integral of (\sqrt[3]{2x})/(sqrt(3x)) ?
The integral of (\sqrt[3]{2x})/(sqrt(3x)) is (2\sqrt[3]{2}sqrt(3))/5 x^{5/6}+C