If `f(x)=(x-1)/(x+1), f^2(x)=f(f(x)), …f^(k+1)(x)=f(f^k(x)),k=1,2,3,…` then `-4int_(1/e)^1f^2010(x)dx=…`

If f(x)=(x-1)/(x+1),f^2(x)=f(f(x)),........,f^(k+1) (x)=f(f^k(x)),k=1,2,3,...g(x)=f^1998(x), then int_(1/e)^1 g(x)dx is equal to

If f(x)=(x+1)/(x-1),x!=1 then (f(f(f(f(x)))))=f(x)

If f(x)=(1+x)/(1-x) then f(x)*(f(x^(2)))/(1+(f(x))^(2))

If f(x)=(x+1)/(x-1), x ne 1 , find f(f(f(f(f(2)))))

If f(x+1/x)=x^2+1/x^2+8 then f(3), f(5), f(-1)

If f(x)+f(2-x)=0 , then int_(0)^(2)(1)/(1+2^(f(x)))dx=

If f(x)+f(2-x)=0 , then int_(0)^(2)(1)/(1+2^(f(x)))dx=

If f(x)+f(3-x)=0 ,then int_(0)^(3)1/(1+2^(f(x)))dx=