What is the integral from 1 to 1000 of 1/(x^2) ?

The integral from 1 to 1000 of 1/(x^2) is 999/1000

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integral from 1 to 1000 of 1/(x^2)

\int_{1}^{1000} \frac{1}{x ^{2}} d x

\frac{999}{1000}

Decimal

0.999

Solution steps

\int_{1}^{1000} \frac{1}{x ^{2}} d x

Apply the Power Rule

= [- \frac{1}{x}]_{1}^{1000}

Compute the boundaries:

\frac{999}{1000}

= \frac{999}{1000}

What is the integral from 1 to 1000 of 1/(x^2) ?
The integral from 1 to 1000 of 1/(x^2) is 999/1000