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

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

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

\int_{2}^{\infty} - 3 x^{- 2} d x

- \frac{3}{2}

Decimal Notation

- 1.5

Solution steps

\int_{2}^{\infty} - 3 x^{- 2} d x

Compute the indefinite integral:

\int - 3 x^{- 2} d x = \frac{3}{x} + C

Compute the boundaries:

\int_{2}^{\infty} - 3 x^{- 2} d x = 0 - \frac{3}{2}

= 0 - \frac{3}{2}

Simplify

= - \frac{3}{2}

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