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

The integral from 1 to 3 of 1/((x+2)^2) is 2/15

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

\int_{1}^{3} \frac{1}{( x + 2 ) ^{2}} d x

\frac{2}{15}

Decimal Notation

0.13333 \dots

Solution steps

\int_{1}^{3} \frac{1}{( x + 2 ) ^{2}} d x

Apply u-substitution

: \int_{3}^{5} \frac{1}{u ^{2}} d u

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

Apply the Power Rule

: [- \frac{1}{u}]_{3}^{5}

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

Compute the boundaries:

\frac{2}{15}

= \frac{2}{15}

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What is the integral from 1 to 3 of 1/((x+2)^2) ?
The integral from 1 to 3 of 1/((x+2)^2) is 2/15