What is the integral from r to infinity of 1/(r^2) ?

The integral from r to infinity of 1/(r^2) is 1/r

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integral from r to infinity of 1/(r^2)

\int_{r}^{\infty} \frac{1}{r ^{2}} d r

\frac{1}{r}

Solution steps

\int_{r}^{\infty} \frac{1}{r ^{2}} d r

Compute the indefinite integral:

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

Compute the boundaries:

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

= 0 - (- \frac{1}{r})

Simplify

= \frac{1}{r}

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What is the integral from r to infinity of 1/(r^2) ?
The integral from r to infinity of 1/(r^2) is 1/r