" If "f((1-x)/(1+x))=x" and "g(x)=int f(x)dx" then "

If f(x) is polynomial function such that f(x)+f'(x)+f(x)+f'(x)=x^(3) and g(x)=int(f(x))/(x^(3)) and g(1)=1 then g( e ) is

If f(x)=f(4-x), g(x)+g(4-x)=3 and int_(0)^(4)f(x)dx=2 , then : int_(0)^(4)f(x)g(x)dx=

" 'f g) "int x log(1+x)dx

int{f(x)+-g(x)}dx=int f(x)dx+-int g(x)dx

If int f(x)dx=g(x) then int f^(-1)(x)dx is

If f(x)+f(pi-x)=1 and g(x)+g(pi-x)=1 , then : int_(0)^(pi)[f(x)+g(x)]dx=

If int(x+sin x)/(1+cos x)dx=f(x)tan g(x)+C , then, f(x)=

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,……and g(x)=f^(1998)(x) then int_(1//e)^(1) g(x)dx is equal to