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

The integral of ((1-x^3))/((x\sqrt[3]{x))} is -3/(\sqrt[3]{x)}-3/8 x^{8/3}+C

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

Solution steps

Expand

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

\int x^{\frac{5}{3}} d x = \frac{3}{8} x^{\frac{8}{3}}

Add a constant to the solution

\int cos (x) - cos^{3} (x) d x

\frac{d}{d x} (- 4 x^{- 3})

\int 11 x^{\frac{4}{7}} + 7 x^{- \frac{6}{7}} d x

y = x^{4}

\int \frac{x}{4} 16 + x^{2} d x

What is the integral of ((1-x^3))/((x\sqrt[3]{x))} ?
The integral of ((1-x^3))/((x\sqrt[3]{x))} is -3/(\sqrt[3]{x)}-3/8 x^{8/3}+C