# Integral that MAPLE could not evaluate

1. Jan 12, 2010

### tsunamiBTP

I have attached a pdf of output from MAPLE attempting to evaluate an integral of an exponential function containing a complex irrational trig function as the exponent. MAPLE could not evaluate it when integrating with respect to the hangle phi. I then transformed the integral via varible substitutions to hopefully get it in a form that might be executable, but no luck there either.

Any suggestions?

This integral is a portion of a solution of a radiation wave emanating in the vicinity of source that is configured as a disc.

#### Attached Files:

• ###### integral output.pdf
File size:
26.6 KB
Views:
121
2. Jan 12, 2010

### HallsofIvy

That looks to me like a variation on an elliptic integral.

3. Jan 13, 2010

### g_edgar

There is no reason to think this integral has a closed form evaluation.

4. Jan 19, 2010

### tsunamiBTP

Is g_edgar suggesting that this integral can only be evaluated numerically for specific values for r & theta?