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

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

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

Solution steps

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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 \frac{1}{2 ( 2 x - 1 )} d x

\int + cos (x) cos (7 x) d x

\int \frac{w - 1}{2 w ^{2} - 2 w + 1} d w

e^{(2 x)}

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