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$\int\left(\left(x+y\right)^2+3\left(x+y\right)+2\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x+y)^2+3(x+y)+2. Find the integral. Solve the product 3\left(x+y\right). Expand the integral \int\left(\left(x+y\right)^2+3x+3y+2\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\left(x+y\right)^2dx results in: \frac{x^{3}}{3}+y^2x.