What is the integral from 2 to infinity of 5/(x^2) ?

The integral from 2 to infinity of 5/(x^2) is 5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to infinity of 5/(x^2)

\int_{2}^{\infty} \frac{5}{x ^{2}} d x

\frac{5}{2}

Decimal

2.5

Solution steps

\int_{2}^{\infty} \frac{5}{x ^{2}} d x

Compute the indefinite integral:

\int \frac{5}{x ^{2}} d x = - \frac{5}{x} + C

Compute the boundaries:

\int_{2}^{\infty} \frac{5}{x ^{2}} d x = 0 - (- \frac{5}{2})

= 0 - (- \frac{5}{2})

Simplify

= \frac{5}{2}

\int \frac{9}{x 4 - 81 ln ^{2} ( x )} d x

\int 50 - \frac{x}{2} d x

\frac{d x}{d y} = - \frac{x}{y}

\frac{d y}{d x} - e^{6 x + y} = 0

x \to 1 lim (\frac{1}{x ^{2}})

What is the integral from 2 to infinity of 5/(x^2) ?
The integral from 2 to infinity of 5/(x^2) is 5/2