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

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

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

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

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x d x - \int \frac{2}{x} d x

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

\int \frac{2}{x} d x = 4 x

= \frac{2}{3} x^{\frac{3}{2}} - 4 x

Add a constant to the solution

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

x \to 0 lim (x^{2} - 8 x + 9)

e^{6}

\frac{d}{d z} (\frac{1}{z})

\int_{7}^{\infty} \frac{2}{x ^{3}} d x

\frac{d}{d x} (8 - \frac{2}{3} x)

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