Integrating a Logarithmic Function: How to Solve a Tricky Definite Integral

[Hysteria X]

Homework Statement

Evaluate:

$\int -1 to 1 log((2-x)/(2+x)) dx$

Homework Equations

The Attempt at a Solution

okay so normal attempt at integration won't work coz then we get log 1
what am i supposed to do i tried applying some general formulas of definite integral but i don't seem to get the answer

 

[Dick]

Homework Statement

Evaluate:

$\int -1 to 1 log((2-x)/(2+x)) dx$

Homework Equations

The Attempt at a Solution

okay so normal attempt at integration won't work coz then we get log 1
what am i supposed to do i tried applying some general formulas of definite integral but i don't seem to get the answer

Can you show what you did using normal integration? I actually don't think log(1) is really wrong. But how did you get it?

 

[Hakkinen]

This logarithmic identity should get you going:

$log\frac{a}{b} = log(a)-log(b)$

I agree with Dick though, you have the correct answer.