Final Answer
Step-by-step Solution
Specify the solving method
Expand the integral $\int_{0}^{2}\left(2+x-x^2+\frac{-2}{x+1}\right)dx$ into $4$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{2}2dx+\int_{0}^{2} xdx+\int_{0}^{2}-x^2dx+\int_{0}^{2}\frac{-2}{x+1}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 2+x-x^2-2/(x+1) from 0 to 2. Expand the integral \int_{0}^{2}\left(2+x-x^2+\frac{-2}{x+1}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{2}2dx results in: 4. The integral \int_{0}^{2} xdx results in: 2. The integral \int_{0}^{2}-x^2dx results in: -\frac{8}{3}.