What is the integral from 2 to infinity of 6x^{-2} ?

The integral from 2 to infinity of 6x^{-2} is 3

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integral from 2 to infinity of 6x^{-2}

\int_{2}^{\infty} 6 x^{- 2} d x

3

Solution steps

\int_{2}^{\infty} 6 x^{- 2} d x

Compute the indefinite integral:

\int 6 x^{- 2} d x = - \frac{6}{x} + C

Compute the boundaries:

\int_{2}^{\infty} 6 x^{- 2} d x = 0 - (- 3)

= 0 - (- 3)

Simplify

= 3

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What is the integral from 2 to infinity of 6x^{-2} ?
The integral from 2 to infinity of 6x^{-2} is 3