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$\int\left(5x^2-2x+3\right)x^3\left(x-1\right)^2dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (5x^2-2x+3)x^3(x-1)^2. Find the integral. Rewrite the integrand \left(5x^2-2x+3\right)x^3\left(x-1\right)^2 in expanded form. Expand the integral \int\left(5x^{7}-12x^{6}+12x^{5}-8x^{4}+3x^3\right)dx into 5 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int5x^{7}dx results in: \frac{5}{8}x^{8}.