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$\int-\left(4-x\right)\left(x+1\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function -(4-x)(x+1). Find the integral. The integral of a function times a constant (-1) is equal to the constant times the integral of the function. We can solve the integral \int\left(4-x\right)\left(x+1\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.