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$\int\left(1-a+b\right)\left(b-a-1\right)db$
Learn how to solve integral calculus problems step by step online. Find the integral of (1-ab)(b-a+-1). Find the integral. Rewrite the integrand \left(1-a+b\right)\left(b-a-1\right) in expanded form. Expand the integral \int\left(b^2-1+2a-a^2\right)db into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int b^2db results in: \frac{b^{3}}{3}.