" iii."int(0)^(oo)(dx)/((x+sqrt(1+x^(2))...

" iii."int_(0)^(oo)(dx)/((x+sqrt(1+x^(2)))^(n))" for "n>1

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int_(0)^(oo)(dx)/((x+sqrt(x^(2)+1))^(3))=

int_(0)^(oo) (dx)/((x+sqrt(x^(2)+1))^(3))=

int_(0)^(oo)(dx)/((1+x)sqrt(x))

int_(0)^(oo)(x)/((1+x)(1+x^(2)))dx

int_(0)^(oo) (x)/((1+x)(1+x^(2)))dx=

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

If n>1, then int_(0)^(oo)(dx)/((x+sqrt(1+x^(2)))^(n)) equals

Show that int_(0)^(oo) (dx)/((x+sqrt(1+x^(2)))^(n))=(n)/(n^(2)-1), (n in N, n gt 1)

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