can the prime really not solve this integral?

[DeucesAx]

(02-27-2014 07:08 PM)parisse Wrote:  We almost never test the CAS in degree mode, therefore more bugs are expected there. The reason here is that for numeric integration with an infinite boundary you must make a change of variable, here we set tan(y)=x for y in 0..pi/2, dx=(1+tan(y)^2)*dy ... except that in degree mode you must add a pi/180 factor.

No pressure, I'm sure once I'm done with college the prime will be a formidable calculator. And heck, I just need to eat rahmen noodles instead of regular pasta for the next 6 month to pay for the prime, no biggie.

(02-27-2014 09:11 PM)Manolo Sobrino Wrote:  That integral appears when you integrate the Planck distribution to all frequencies in order to recover the Stefan-Boltzmann law, also in the Debye theory of specific heat. The functions defined by these integrals are called Debye functions. See Abramowitz-Stegun §27.1

Well at least I now know that I did the simplification by hand to get there correctly. Thank the spaghetti monster almighty.