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 a e^{- m x} d x

\frac{d y}{d x} + (\frac{3}{x}) y = - 2 x + 7

x \to - 1 lim (1 + 2 x)

100 y^{^{''}} + 60 y^{^{'}} - 27 y = 0

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