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Let f(x)=(a-x)^(1//n)andg(x)=(f,f,f,.......

Let `f(x)=(a-x)^(1//n)andg(x)=(f,f,f,......,f(x))/(2m" times")`. Then `int(dx)/((g(x))^(n)(1+(g(x))^(n))^(1//n))` equals

A

`(n)/(n-1)(1+(1)/(x^(n)))^((n-1)/(n))+C`

B

`(n)/(1-n)(1+x^(-n))^((n-1)/(n))+C`

C

`(n)/(1+n)(1+x^(n))^((n+1)/(n))+C`

D

`(-1)/(n)(1-x^(n))^((n)/(n+1))+C`

Text Solution

Verified by Experts

The correct Answer is:
B
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