What is the integral of 1/((x+1)^{2/3)} ?

The integral of 1/((x+1)^{2/3)} is 3(x+1)^{1/3}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 1/((x+1)^{2/3)}

\int \frac{1}{( x + 1 ) ^{\frac{2}{3}}} d x

3 (x + 1)^{\frac{1}{3}} + C

Solution steps

\int \frac{1}{( x + 1 ) ^{\frac{2}{3}}} d x

Apply u-substitution

= \int \frac{1}{u ^{\frac{2}{3}}} d u

Apply the Power Rule

= 3 u^{\frac{1}{3}}

Substitute back

u = x + 1

= 3 (x + 1)^{\frac{1}{3}}

Add a constant to the solution

= 3 (x + 1)^{\frac{1}{3}} + C

What is the integral of 1/((x+1)^{2/3)} ?
The integral of 1/((x+1)^{2/3)} is 3(x+1)^{1/3}+C