Final answer to the problem
Step-by-step Solution
Specify the solving method
Simplifying
Learn how to solve definite integrals problems step by step online.
$\int_{\frac{71}{452}}^{\frac{5\pi}{2}} x\sin\left(x\right)^2dx$
Learn how to solve definite integrals problems step by step online. Integrate the function xsin(x)^2 from 71/452 to (5*pi)/2. Simplifying. Apply the trigonometric identity: \sin\left(\theta \right)^2=\frac{1-\cos\left(2\theta \right)}{2}. Multiplying the fraction by x. Take the constant \frac{1}{2} out of the integral.