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

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

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

\int_{1}^{\infty} x^{- 2} d x

1

Solution steps

\int_{1}^{\infty} x^{- 2} d x

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - (- 1)

Simplify

= 1

\frac{\partial}{\partial x} (arctan (\frac{x}{2}))

\frac{d}{d x} (y e^{- 3 x})

x^{2} + x - 3

- t^{3} + 15 t^{2} - 72 t

\frac{\partial}{\partial y} (3 x^{2} + 4 y^{2})

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