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Use Python to solve each problem. 1. Given f(x) = x 3 â x 2 + 1: a) Make an appropriate substitution to change Z f(x) dx to a function of u and integrate this function. b) Confirm your answer to part a) by integrating Z f(x) dx directly. c) Use the indefinite integral from part b) and the Fundamental Theorem of Calculus to evaluate Z 10 â1 f(x) dx (give exact and approximate answers) d) Check your answer to part c) by using Python to directly evaluate Z 10 â1 f(x) dx.

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