" If "2f(x)+f(-x)=(1)/(x)sin(x-(1)/(x))" then "int_(1/6)^(e)r(x)dx=

If 2f(x)+f(-x)=(1)/(x)sin(x-(1)/(x)) then the value of int_((1)/(e))^(e)f(x)dx is

If 2f(x)+f(-x)=1/xsin(x-1/x) then the value of int_(1/e)^e f(x)d x is

If 2f(x)+f(-x)=1/xsin(x-1/x) then the value of int_(1/e)^e f(x)d x is

If 2f(x)- 3f(1/x) = x then int_1^(e) f(x) dx =

If f(x)=1+x^(2)+x^(4)+x^(6)+…..oo then int_(0)^(x)f(x)dx=

If 2f(x) - 3 f(1//x) = x," then " int_(1)^(2) f(x) dx is equal to

If f(x)=(x)/(1+(In x)(ln x)...oo)AA x in[1,oo) then int_(1)^(2e)f(x)dx equals:

A continous function f(x) is such that f(3x)=2f(x), AA x in R . If int_(0)^(1)f(x)dx=1, then int_(1)^(3)f(x)dx is equal to

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