Final Answer
$\frac{11}{48}$
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Step-by-step Solution
Specify the solving method
1
Simplify the expression inside the integral
$\int_{\frac{1}{4}}^{\frac{3}{4}}2xdx+\int_{\frac{1}{4}}^{\frac{3}{4}}-2x^2dx$
Learn how to solve definite integrals problems step by step online.
$\int_{\frac{1}{4}}^{\frac{3}{4}}2xdx+\int_{\frac{1}{4}}^{\frac{3}{4}}-2x^2dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 2x-x^2-x^2 from 1/4 to 3/4. Simplify the expression inside the integral. 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: -\frac{13}{48}. Gather the results of all integrals.
Final Answer
$\frac{11}{48}$
Exact Numeric Answer
$0.2292$