The value of the definite integral `int_(-2008)^(2008) ((f'(x)+f'(-x))/((2008)^x+1))dx`

The value of the integral int_(-2018)^(2018)(f'(x)+f'(-x))/(2018^(x)+1)dx is equal to

If f(0)=1,f(2)=3,f'(2)=5 ,then the value of the definite integral int_(0)^(1)xf''(2x)dx is

Let f(x) be a continuous function on [0,4] satisfying f(x)f(4-x)=1. The value of the definite integral int_(0)^(4)(1)/(1+f(x))dx equals -

Consider the graph of y=f(|x|) Then the value of definite integral int_(1)^(2)((f(x))^(2018))/(1+(f(x))^(2018)+(f(x))^(2020))dx is

(-1)^(2008)=-1 .

Given f'(x)=(cos x)/(x),f((pi)/(2))=a,f((3 pi)/(2))=b Find the value of the definite integral int_((pi)/(7))^((pi)/(2))f(x)dx

The value of the integral int_(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is

The value of the integral int_(0)^(pi//2)(f(x))/(f(x)+f(pi/(2)-x))dx is

The value of the integral int_(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal to