Integration

∞
Prove that ∫ dx/(x+√x2+1)n =n/(n2-1)
0
where n>1

3 Answers

1
skygirl ·

tried taking x=tanθ... ??

62
Lokesh Verma ·

how about dividing and multiplying this whole thing by (√x2+1 -x )

it will simply reduce to (√x2+1 -x ) i think!

1
skygirl ·

yeah great!!

good work bhaiya :P [3]

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