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Question 4 (@) Interpret lim k=19n+ as a definite integral and evaluate it. (8 marks) (b) (i) Use integration by parts to evaluate the following

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Question 4 (@) Interpret lim k=19n+ as a definite integral and evaluate it. (8 marks) (b) (i) Use integration by parts to evaluate the following integral. (In x)2 dx (8 marks) (ii) Show that the repeated use of the following reduction formula achieves the same answer as in part (i): (Inx)" dx = x (Inx)" - n (Inx)"-1 dx (4 marks)

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