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

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

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integral of sqrt(x)-2/(\sqrt[3]{x)}

\frac{2}{3} x^{\frac{3}{2}} - 3 x^{\frac{2}{3}} + C

Solution steps

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 d x = \frac{2}{3} x^{\frac{3}{2}}

= \frac{2}{3} x^{\frac{3}{2}} - 3 x^{\frac{2}{3}}

Add a constant to the solution

= \frac{2}{3} x^{\frac{3}{2}} - 3 x^{\frac{2}{3}} + C

\frac{d y}{d t} = 0.2 y (1000 - y)

f (x) = x 2

\frac{\partial}{\partial x} (5 x)

2 sin (x), 6 cos (x), [0, π]

\int \frac{( ln ( z ) ) ^{6}}{z} d z

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