What is the integral from 2 to infinity of x^{-2} ?

The integral from 2 to infinity of x^{-2} is 1/2

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integral from 2 to infinity of x^{-2}

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - (- \frac{1}{2})

Simplify

= \frac{1}{2}

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What is the integral from 2 to infinity of x^{-2} ?
The integral from 2 to infinity of x^{-2} is 1/2