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$\int\left(\frac{1}{2}x^2+\frac{1}{3}xy+\frac{1}{2}xy+\frac{1}{4}y^2\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function 1/2x^2+1/3xy1/2xy1/4y^2. Find the integral. Simplify the expression inside the integral. The integral \int\frac{1}{2}x^2dx results in: \frac{1}{6}x^{3}. The integral \int\frac{5}{6}xydx results in: \frac{5}{12}y^2x-\frac{5}{36}y^{3}.