# Absolute Exponential Integration

1. Jun 4, 2013

### M. next

Hello!

What is the integration of the absolute value of e^ix? That is what is ∫|e^ix|^2 equal to? The whole absolute thing got me lost. Thanks in advance.

2. Jun 4, 2013

### HallsofIvy

Staff Emeritus
For any real number x, $|e^{ix}|= 1$.

3. Jun 4, 2013

### M. next

What is the definition of $e^{ix}$? And what is the definition of the $|~~|$?