# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int_0^2\left(2+x-x^2-\frac{2}{x+1}\right)dx$

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 2+x-x^2-2/(x+1) from 0 to 2. Simplifying. 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}.

$1.1361$

### Problem Analysis

$\int_0^2\left(2+x-x^2-\frac{2}{x+1}\right)dx$

### Main topic:

Definite integrals

~ 0.49 seconds