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Apply the formula: $\int\frac{n}{\left(x+a\right)^c}dx$$=\frac{-n}{\left(c-1\right)\left(x+a\right)^{\left(c-1\right)}}+C$, where $a=1$, $c=2$ and $n=1$
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$\left[\frac{-1}{\left(2-1\right)\left(x+1\right)^{\left(2-1\right)}}\right]_{1}^{3}$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/((x+1)^2) from 1 to 3. Apply the formula: \int\frac{n}{\left(x+a\right)^c}dx=\frac{-n}{\left(c-1\right)\left(x+a\right)^{\left(c-1\right)}}+C, where a=1, c=2 and n=1. Simplify the expression inside the integral. Evaluate the definite integral. Simplify the expression inside the integral.