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$\int\left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{y}-\sqrt{x}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x^1/2+y^1/2)(y^1/2-x^1/2). Find the integral. Rewrite the integrand \left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{y}-\sqrt{x}\right) in expanded form. Expand the integral \int\left(y-x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int ydx results in: \frac{1}{2}y^2.