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

The integral of sqrt(x+2) is 2/3 (x+2)^{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 sqrt(x+2)

\int x + 2 d x

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

Solution steps

\int x + 2 d x

Apply u-substitution

: \int u d u

= \int u d u

Apply the Power Rule

: \frac{2}{3} u^{\frac{3}{2}}

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

Substitute back

u = x + 2

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

Add a constant to the solution

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

\int 3 e d x

\frac{\partial}{\partial x} (sin^{4} (x - 7 y))

\int 5 x d x

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

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

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