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

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