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$\int\frac{\left(x-1\right)^3}{3}dx$
Learn how to solve integral calculus problems step by step online. Find the integral of ((x-1)^3)/3. Find the integral. Take the constant \frac{1}{3} out of the integral. Divide 1 by 3. We can solve the integral \int\left(x-1\right)^3dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x-1 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.