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$\int\left(a-3b\right)\left(a+x\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (a-3b)(a+x). Find the integral. The integral of a function times a constant (a-3b) is equal to the constant times the integral of the function. Expand the integral \int\left(a+x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral of a constant is equal to the constant times the integral's variable.