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$\int\left(x^2\sin\left(2x\right)-4x\cos\left(2x\right)-\sin\left(2x\right)\right)dx$
Learn how to solve problems step by step online. Find the integral of y=x^2sin(2x)-4xcos(2x)-sin(2x). Find the integral. Expand the integral \int\left(x^2\sin\left(2x\right)-4x\cos\left(2x\right)-\sin\left(2x\right)\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^2\sin\left(2x\right)dx results in: -\frac{1}{2}x^2\cos\left(2x\right)+\frac{1}{2}x\sin\left(2x\right)+\frac{1}{4}\cos\left(2x\right). Gather the results of all integrals.