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