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Question 2 (6+4) (a) For any integer n with n 2 2, we have cos x de = - cog-1 n - 1 sinc +

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Question 2 (6+4) (a) For any integer n with n 2 2, we have cos" x de = - cog"-1 n - 1 sinc + cost-2 r dx. n n Use this to compute cost x dx. (b) Evaluate 3 (x2 + 1)3 dx. (Hint: Use trig substitution to transform the given integral into a trig inte- gral. Then use part (a))

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