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