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$\int\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)dy$
Learn how to solve integral calculus problems step by step online. Integrate the function (2+y^1/2)(2-y^1/2). Find the integral. Rewrite the integrand \left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right) in expanded form. Expand the integral \int\left(4-y\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int4dy results in: 4y.