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

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

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

\int_{1}^{\infty} (\frac{1}{x ^{2}}) d x

1

Solution steps

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

Compute the indefinite integral:

\int \frac{1}{x ^{2}} d x = - \frac{1}{x} + C

Compute the boundaries:

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

= 0 - (- 1)

Simplify

= 1

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