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

The integral of x\sqrt[3]{x} is 1/2 x^2\sqrt[3]{x}-1/14 x^{7/3}+C

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integral of x\sqrt[3]{x}

Solution steps

Apply Integration By Parts

\int \frac{1}{6} x^{\frac{4}{3}} d x = \frac{1}{14} x^{\frac{7}{3}}

Add a constant to the solution

x \to 4 lim (5 - (- 7))

y = 4 e^{x}

\int 10 sin^{2} (x) cos^{2} (x) d x

\frac{d}{d x} ((x - 42)^{2} - 6 x ln (x - 100))

\frac{\partial}{\partial x} (\frac{y}{x} + e^{x y} + x y^{2})

What is the integral of x\sqrt[3]{x} ?
The integral of x\sqrt[3]{x} is 1/2 x^2\sqrt[3]{x}-1/14 x^{7/3}+C