Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve problems step by step online.
$\int\left(\frac{2}{x+1}+\frac{1}{\left(x+1\right)^2}+\frac{-3}{x+1}+\frac{4}{\left(x+1\right)^2}\right)dx$
Learn how to solve problems step by step online. Find the integral of 2/(x+1)+1/((x+1)^2)-3/(x+1)4/((x+1)^2). Find the integral. Expand the integral \int\left(\frac{2}{x+1}+\frac{1}{\left(x+1\right)^2}+\frac{-3}{x+1}+\frac{4}{\left(x+1\right)^2}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{2}{x+1}dx results in: 2\ln\left(x+1\right). The integral \int\frac{1}{\left(x+1\right)^2}dx results in: \frac{1}{-\left(x+1\right)}.