Integral that MAPLE could not evaluate

[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.

integral output.pdf