What is the integral from 1 to infinity of 4/(x^2) ?

The integral from 1 to infinity of 4/(x^2) is 4

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integral from 1 to infinity of 4/(x^2)

\int_{1}^{\infty} \frac{4}{x ^{2}} d x

4

Solution steps

\int_{1}^{\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_{1}^{\infty} \frac{4}{x ^{2}} d x = 0 - (- 4)

= 0 - (- 4)

Simplify

= 4

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What is the integral from 1 to infinity of 4/(x^2) ?
The integral from 1 to infinity of 4/(x^2) is 4