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Please help with the following questions: 1. Evaluate (a) Vilna dx (b) x sin(3x) dx (c) In(3x - 2) da (d) 123t dx (e) In(22

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Please help with the following questions:

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1. Evaluate (a) Vilna dx (b) x sin(3x) dx (c) In(3x - 2) da (d) 123t dx (e) In(22 + 1) dx 2. (a) Prove the reduction formula / (Inx)" da = x(Inx)" -n / (Inx)"-1 dx (b) Use part a) to compute / (Inx)3 dx (c) (Extra credits:) Use mathematical induction to show that (Inx)" dx = (-1)"'n

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