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

The integral from 1/2 to 3 of 1/(x^2) is 5/3

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

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

\frac{5}{3}

Decimal

1.66666 \dots

Solution steps

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

Apply the Power Rule

= [- \frac{1}{x}]_{\frac{1}{2}}^{3}

Compute the boundaries:

\frac{5}{3}

= \frac{5}{3}

What is the integral from 1/2 to 3 of 1/(x^2) ?
The integral from 1/2 to 3 of 1/(x^2) is 5/3