What is the integral from 2 to infinity of-4x^{-2} ?

The integral from 2 to infinity of-4x^{-2} is -2

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integral from 2 to infinity of-4x^{-2}

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

- 2

Solution steps

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

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - 2

Simplify

= - 2

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What is the integral from 2 to infinity of-4x^{-2} ?
The integral from 2 to infinity of-4x^{-2} is -2