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$\int\left(\left(x-1\right)^3-8\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x-1)^3-8. Find the integral. Expand the integral \int\left(\left(x-1\right)^3-8\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\left(x-1\right)^3dx results in: \frac{\left(x-1\right)^{4}}{4}. The integral \int-8dx results in: -8x.