Exercise
$\int x\cdot\cos^2\left(x\right)\cdot sen^2\left(x\right)dx$
Step-by-step Solution
Learn how to solve integration by parts problems step by step online. Find the integral int(xcos(x)^2sin(x)^2)dx. We can solve the integral \int x\cos\left(x\right)^2\sin\left(x\right)^2dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v. Solve the integral to find v.
Find the integral int(xcos(x)^2sin(x)^2)dx
Final answer to the exercise
$\frac{1}{2}x^2+\frac{1}{4}x\sin\left(2x\right)-\frac{1}{4}x^2+\frac{1}{8}\cos\left(2x\right)+C_0$