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$\int\left(\left(x-3\right)\left(x-4\right)+\left(x-3\right)\left(x+4\right)\right)dx$
Learn how to solve problems step by step online. Integrate the function (x-3)(x-4)+(x-3)(x+4). Find the integral. Rewrite the expression \left(x-3\right)\left(x-4\right)+\left(x-3\right)\left(x+4\right) inside the integral in factored form. The integral of a function times a constant (2) is equal to the constant times the integral of the function. We can solve the integral \int\left(x-3\right)xdx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.