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$\int_{0}^{\sqrt{3}}\left(2+x-x^2+\frac{-2}{x+1}\right)dx$
Learn how to solve problems step by step online. Integrate the function 2+x-x^2-2/(x+1) from 0 to 3^1/2. Simplifying. Expand the integral \int_{0}^{\sqrt{3}}\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}^{\sqrt{3}}2dx results in: 3.464102. The integral \int_{0}^{\sqrt{3}} xdx results in: \frac{3}{2}.