even function

[Var1995]

this function is an even function but how? i replaced x with -x then how do i proceed?

[Dr. Strange]

Use log(1-x)/(1+x) = log(1-x) - log(1+x)

Integrate separately from 0 to x

you will find f(x)

now find f(-x) by replacing x with -x and compare

[Var1995]

could u tell me the function u r getting?

[Dr. Strange]

f(x)= 2 + x*log(1-x/1+x) - log{(1-x)(1+x)} which is even

[Var1995]

i got this but i m not getting '2' anywhere in my function.

[Dr. Strange]

You are right. I made a mistake.There is no 2.