What is the integral from 2 to infinity of 4/(x^2) ?

The integral from 2 to infinity of 4/(x^2) is 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 4/(x^2)

\int_{2}^{\infty} \frac{4}{x ^{2}} d x

2

Solution steps

\int_{2}^{\infty} \frac{4}{x ^{2}} d x

Compute the indefinite integral:

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

Compute the boundaries:

\int_{2}^{\infty} \frac{4}{x ^{2}} d x = 0 - (- 2)

= 0 - (- 2)

Simplify

= 2

\int_{2}^{4} arcsec (θ) d θ

\int_{0}^{π} (sin (x))^{3} d x

\int_{0}^{1} 2 cos (\frac{π t}{2}) d t

\int_{- 2}^{2} - 4 - x^{2} d x

\int_{s i n (x)}^{c o s (x)} e^{t} d t

What is the integral from 2 to infinity of 4/(x^2) ?
The integral from 2 to infinity of 4/(x^2) is 2