Question: Question 1 Compute the following indefinite integrals, and show your steps.(1)(2xx3)dx,(2)(x31x-2x25x4)dx,(3)(x2)4x2dx,(4)x2xx21dx,(5)cot2(x)dx,(6)1x2(x24)dx.Question 2 Differentiate the following functions and obtain three indefinite integral formulas, and show your

Question 1 Compute the following indefinite integrals, and show your steps.(1)(2xx3)dx,(2)(x31x-2x25x4)dx,(3)(x2)4x2dx,(4)x2xx21dx,(5)cot2(x)dx,(6)1x2(x24)dx.Question 2 Differentiate the following functions and obtain three indefinite integral formulas, and show your steps.(1)xarccos(x)-1-x22;(2)xarcsin(x)1-x22;(3)xarctan(x)-12ln(1x2).Question 3 Solve the following indefinite integrals, and show your steps.(1)x2sin(x)dx,(2)ln(x)x3dx(3)x2e-2xdx,(4)e3x2dx.

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