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

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

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

Solution steps

Apply Integration By Parts

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

Add a constant to the solution

\int (x^{2} - 3 x + 2) e^{2 x} d x

\int \frac{x ln ( x )}{( 1 + x ^{2} ) ^{2}} d x

\int \frac{cos ( 2 x )}{sin ( x ) + cos ( x )} d x

\int \frac{x + 1}{x ^{2} + x + 1} d x

\int y cos (5 y) d y

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