- #1
kingwinner
- 1,270
- 0
Homework Statement
How do we evaluate integrals of COMPLEX-valued functions (like the following)?
2
∫ exp[-(2+3i)x] dx
0
This integral is appearing in my PDE course in the topic of Fourier transform, but I have no background of how to integrate complex-valued functions. Looking back at my calculus textbook, all functions are assumed to be REAL-valued so really all theorems about integrals are not applicable in this situation...
Can I simply treat -(2+3i) as a scalar and use the exact same rules of integration from calculus? i.e. is integrating complex-valued functions exactly the same as integrating real-valued functions if we treat complex numbers as scalars?
Homework Equations
N/A
The Attempt at a Solution
N/A
Thanks for your help!