Question: If: E (b) Let! =I sin2+1(2e)de,n=0,1,.... 0 . 2n (1) Prove that In=mInl' n21. 2n '2 (ii) Deduce that I = m. (2n+1)! 1

If: E (b) Let! =I sin2"+1(2e)de,n=0,1,.... 0 . 2n (1) Prove

If: E (b) Let! =I sin2"+1(2e)de,n=0,1,.... 0 . 2n (1) Prove that In=mInl' n21. 2n '2 (ii) Deduce that I = m. " (2n+1)! 1 Let in = J x\"(1x)\"dx, n=0,1,2,.... 0 [ 2 (iii) USing the result of part (ii), or otherwise, show that JR = % n . (iv) Prove that (2%!)2 3 (2n +1)

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