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

The integral of (sqrt(x))/(\sqrt[3]{x)} is 6/7 x^{7/6}+C

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

\frac{6}{7} x^{\frac{7}{6}} + C

Solution steps

Simplify

Apply the Power Rule

: \frac{6}{7} x^{\frac{7}{6}}

= \frac{6}{7} x^{\frac{7}{6}}

Add a constant to the solution

= \frac{6}{7} x^{\frac{7}{6}} + C

\frac{d}{d x} (sec^{2} (x) tan^{2} (x))

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

\frac{\partial}{\partial x} (\frac{1}{3} x^{\frac{3}{2}})

\frac{\partial}{\partial y} (6 x cos (x) cos (y))

y^{^{'}} + y = - x

What is the integral of (sqrt(x))/(\sqrt[3]{x)} ?
The integral of (sqrt(x))/(\sqrt[3]{x)} is 6/7 x^{7/6}+C