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$\int-\left(4-x\right)\left(x+1\right)dx$
Learn how to solve problems step by step online. Find the integral of -(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. Rewrite the integrand \left(4-x\right)\left(x+1\right) in expanded form. Expand the integral \int\left(3x+4-x^2\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.