What is the integral from-3 to-1 of 1/(x^2) ?

The integral from-3 to-1 of 1/(x^2) is 2/3

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integral from-3 to-1 of 1/(x^2)

\int_{- 3}^{- 1} \frac{1}{x ^{2}} d x

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

\int_{- 3}^{- 1} \frac{1}{x ^{2}} d x

Apply the Power Rule

: [- \frac{1}{x}]_{- 3}^{- 1}

= [- \frac{1}{x}]_{- 3}^{- 1}

Compute the boundaries:

\frac{2}{3}

= \frac{2}{3}

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What is the integral from-3 to-1 of 1/(x^2) ?
The integral from-3 to-1 of 1/(x^2) is 2/3