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$\int\left(2x+3y\right)^2dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (2x+3y)^2. Find the integral. Rewrite the integrand \left(2x+3y\right)^2 in expanded form. Expand the integral \int\left(4x^{2}+12xy+9y^{2}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int4x^{2}dx results in: \frac{4}{3}x^{3}.