en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1-2/(x^2)

Solution

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

Solution

x + \frac{2}{x} + C

Solution steps

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

\int 1 d x = x

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

= x - (- \frac{2}{x})

Simplify

= x + \frac{2}{x}

Add a constant to the solution

= x + \frac{2}{x} + C

Popular Examples

integral of (e^x)/(sqrt(e^x+1)+1)

\int \frac{e ^{x}}{e ^{x} + 1 + 1} d x

integral of ((2x+3)^2)/(sqrt(x))

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

derivative of 2sin(x)

\frac{d}{d x} (2 sin (x))

tangent of 2/(1-t),\at t=-2 tangent of

\frac{2}{1 - t}, at t = - 2

derivative of 2xln(2x+x)

\frac{d}{d x} (2 x ln (2 x) + x)

Frequently Asked Questions (FAQ)

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