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$\int\left(\left(x+y\right)^2+2\left(x+y\right)+1\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x+y)^2+2(x+y)+1. Find the integral. Solve the product 2\left(x+y\right). Expand the integral \int\left(\left(x+y\right)^2+2x+2y+1\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.