# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int_{\frac{1}{4}}^{\frac{3}{4}}\left(2x-x^2-x^2\right)dx$

Learn how to solve definite integrals problems step by step online.

$\int_{\frac{1}{4}}^{\frac{3}{4}}2xdx+\int_{\frac{1}{4}}^{\frac{3}{4}}-2x^2dx$

Learn how to solve definite integrals problems step by step online. Integrate 2x-x^2-x^2 from 1/4 to 3/4. Simplifying. The integral \int_{\frac{1}{4}}^{\frac{3}{4}}2xdx results in: \frac{1}{2}. The integral \int_{\frac{1}{4}}^{\frac{3}{4}}-2x^2dx results in: -0.2708. Gather the results of all integrals.

$\frac{11}{48}$$\,\,\left(\approx 0.22916666666666669\right)$

### Problem Analysis

$\int_{\frac{1}{4}}^{\frac{3}{4}}\left(2x-x^2-x^2\right)dx$

### Main topic:

Definite integrals

~ 0.06 seconds