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If n gt 1. Evaluate int(0)^(oo)(dx)/((x+...

If `n gt 1`. Evaluate `int_(0)^(oo)(dx)/((x+sqrt(1+x^(2)))^(n))`

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The correct Answer is:
`(n)/(n^(2) - 1)`
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RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -High Level Problem
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  12. Let f(x)={{:(-2",",-3lexle0),(x-2",",0ltxle3):}andg(x)=f(|x|)+|f(x)| ...

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