Question: Let J n = dx/(x 2 + 1) n . (a) Compute J 1 . (b) Use Integration by Parts to prove (c) Use

Let Jn = ∫ dx/(x2 + 1)n.
(a) Compute J1.
(b) Use Integration by Parts to prove

X Jan+1 = (1 - 2 ) x + (2n) (x + 1) Jn 2n

(c) Use this recursion relation to calculate J2 and J3.

X Jan+1 = (1 - 2 ) x + (2n) (x + 1) Jn 2n

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