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

The integral from 1 to 3 of 5/(x^2) is 10/3

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

\int_{1}^{3} \frac{5}{x ^{2}} d x

\frac{10}{3}

Decimal Notation

3.33333 \dots

Solution steps

\int_{1}^{3} \frac{5}{x ^{2}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{1}^{3} \frac{1}{x ^{2}} d x

Apply the Power Rule

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

= 5 [- \frac{1}{x}]_{1}^{3}

Compute the boundaries:

\frac{2}{3}

= 5 \cdot \frac{2}{3}

Simplify

= \frac{10}{3}

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What is the integral from 1 to 3 of 5/(x^2) ?
The integral from 1 to 3 of 5/(x^2) is 10/3