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

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

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

\int (\frac{2}{3 x}) d x

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

Solution steps

\int \frac{2}{3 x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int \frac{1}{3 x} d x

Apply the Power Rule

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

Simplify

2 \cdot \frac{3}{2} x^{\frac{2}{3}} : 3 x^{\frac{2}{3}}

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

Add a constant to the solution

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

x \to \infty lim (- 2 x^{3})

d er i v a t i v e x a + b x

\int \frac{ln ( 6 x )}{x ^{4}} d x

\int_{1}^{2} x d x

\frac{\partial}{\partial z} (arctan (\frac{y}{x}))

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