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$\int\left(5x^2-2x+3\right)x^3\left(x-1\right)^2dx$
Learn how to solve differential calculus problems step by step online. Integrate the function (5x^2-2x+3)x^3(x-1)^2. Find the integral. We can solve the integral \int\left(5x^2-2x+3\right)x^3\left(x-1\right)^2dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.