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$\int\left(\left(a+b+c\right)^2-\left(a-b-c\right)^2\right)db$
Learn how to solve integral calculus problems step by step online. Integrate the function (a+bc)^2-(a-b-c)^2. Find the integral. Expand the integral \int\left(\left(a+b+c\right)^2-\left(a-b-c\right)^2\right)db into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\left(a+b+c\right)^2db results in: a^2b+\frac{b^{3}}{3}. Gather the results of all integrals.