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

The integral of ((1+\sqrt[3]{x})^2)/(\sqrt[3]{x)} is 3/4 x^{4/3}+3/2 x^{2/3}+2x^{2/3}\sqrt[3]{x}+C

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integral of ((1+\sqrt[3]{x})^2)/(\sqrt[3]{x)}

Solution steps

Apply Integration By Parts

\int \frac{x ^{\frac{2}{3}} - 1}{3 x ^{\frac{1}{3}}} d x = \frac{1}{4} (x^{\frac{4}{3}} - 2 x^{\frac{2}{3}})

Simplify

Add a constant to the solution

f (x) = 2 ln (x)

\frac{d}{d x} (ln (\frac{1}{x}))

x \to 2 lim ((5 x + 7)^{4})

\int \frac{x ^{3} + 1}{x + 2} d x

(e^{- x})^{^{'}}

What is the integral of ((1+\sqrt[3]{x})^2)/(\sqrt[3]{x)} ?
The integral of ((1+\sqrt[3]{x})^2)/(\sqrt[3]{x)} is 3/4 x^{4/3}+3/2 x^{2/3}+2x^{2/3}\sqrt[3]{x}+C