What is the integral of (x-2)/(sqrt(x+1)) ?

The integral of (x-2)/(sqrt(x+1)) is 2(x-2)sqrt(x+1)-4/3 (x+1)^{3/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (x-2)/(sqrt(x+1))

\int \frac{x - 2}{x + 1} d x

2 (x - 2) x + 1 - \frac{4}{3} (x + 1)^{\frac{3}{2}} + C

Solution steps

\int \frac{x - 2}{x + 1} d x

Apply Integration By Parts

: 2 (x - 2) x + 1 - \int 2 x + 1 d x

= 2 (x - 2) x + 1 - \int 2 x + 1 d x

\int 2 x + 1 d x = \frac{4}{3} (x + 1)^{\frac{3}{2}}

= 2 (x - 2) x + 1 - \frac{4}{3} (x + 1)^{\frac{3}{2}}

Add a constant to the solution

= 2 (x - 2) x + 1 - \frac{4}{3} (x + 1)^{\frac{3}{2}} + C

\int (3 x^{2} + 8 x - 4) d x

\int \frac{1}{( 1 - x ^{2} ) arcsin ( x )} d x

\int \frac{e ^{6 x}}{e ^{6 x} + 2} d x

\int e^{3 x} (3^{x} - e^{- 2 x}) d x

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

What is the integral of (x-2)/(sqrt(x+1)) ?
The integral of (x-2)/(sqrt(x+1)) is 2(x-2)sqrt(x+1)-4/3 (x+1)^{3/2}+C