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Step-by-step Solution
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Rewrite the trigonometric expression $\cos\left(x\right)^2$ inside the integral
Take the constant $\frac{1}{2}$ out of the integral
Learn how to solve definite integrals problems step by step online.
$\int_{1}^{3}\frac{1+\cos\left(2x\right)}{2}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function cos(x)^2 from 1 to 3. Rewrite the trigonometric expression \cos\left(x\right)^2 inside the integral. Take the constant \frac{1}{2} out of the integral. Expand the integral \int\left(1+\cos\left(2x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral of a constant is equal to the constant times the integral's variable.