What is the integral from 3 to 6 of 1/(x^2) ?

The integral from 3 to 6 of 1/(x^2) is 1/6

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integral from 3 to 6 of 1/(x^2)

\int_{3}^{6} \frac{1}{x ^{2}} d x

\frac{1}{6}

Decimal

0.16666 \dots

Solution steps

\int_{3}^{6} \frac{1}{x ^{2}} d x

Apply the Power Rule

= [- \frac{1}{x}]_{3}^{6}

Compute the boundaries:

\frac{1}{6}

= \frac{1}{6}

What is the integral from 3 to 6 of 1/(x^2) ?
The integral from 3 to 6 of 1/(x^2) is 1/6