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Expand the integral $\int_{y}^{1}\left(x^2+2xy+y^2\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int_{y}^{1} x^2dx+\int_{y}^{1}2xydx+\int_{y}^{1} y^2dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^2+2xyy^2 from y to 1. Expand the integral \int_{y}^{1}\left(x^2+2xy+y^2\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{y}^{1} x^2dx results in: \frac{1}{3}+\frac{-y^{3}}{3}. The integral \int_{y}^{1}2xydx results in: 2y\left(\frac{1}{2}-\frac{1}{2}y^2\right). Gather the results of all integrals.