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Question # 2. (6 marks) (a) Using integration by parts on / x Vx + 2dx, demonstrate the reduction formula, an Vx + 2da =
Question # 2. (6 marks) (a) Using integration by parts on / x" Vx + 2dx, demonstrate the reduction formula, an Vx + 2da = 3x7 8 (2 + 2) 4 6n an-13x + 2dx 3n + 4 3n + 4 (b) Suppose we have a some function, f(x), which satisfies the property, ef(x) - In (f(x)) =xf'(x). Integrate f(x) dac expressing your answer in terms of this f(x) function. Hint: f(x) cannot be found using any techniques you know, so don't try to solve for f(x)
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