What is the integral of t^2\sqrt[3]{t} ?

The integral of t^2\sqrt[3]{t} is 1/3 t^3\sqrt[3]{t}-1/30 t^{10/3}+C

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integral of t^2\sqrt[3]{t}

Solution steps

Apply Integration By Parts

\int \frac{1}{9} t^{\frac{7}{3}} d t = \frac{1}{30} t^{\frac{10}{3}}

Add a constant to the solution

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\int \frac{x ^{2} + 9}{x} d x

What is the integral of t^2\sqrt[3]{t} ?
The integral of t^2\sqrt[3]{t} is 1/3 t^3\sqrt[3]{t}-1/30 t^{10/3}+C