What is the integral of (2/(\sqrt[6]{x)}) ?

The integral of (2/(\sqrt[6]{x)}) is 12/5 x^{5/6}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of (2/(\sqrt[6]{x)})

\frac{12}{5} x^{\frac{5}{6}} + C

Solution steps

Take the constant out:

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

Apply the Power Rule

= 2 \cdot \frac{6}{5} x^{\frac{5}{6}}

Simplify

2 \cdot \frac{6}{5} x^{\frac{5}{6}} : \frac{12}{5} x^{\frac{5}{6}}

= \frac{12}{5} x^{\frac{5}{6}}

Add a constant to the solution

= \frac{12}{5} x^{\frac{5}{6}} + C

What is the integral of (2/(\sqrt[6]{x)}) ?
The integral of (2/(\sqrt[6]{x)}) is 12/5 x^{5/6}+C