Integrate question

[DrD]

(10-19-2017 10:49 AM)webmasterpdx Wrote:  Interesting....it's the trigsin function that creates the 1/48 on XCas, and I see from your original post, it does it on yours too.

I used trigsin() because my manual solution was in terms of sin() factors, and the CAS result was in terms of cos() factors. This was an attempt to match the visual appearance of the result. Trig functions can explode into some pretty wild combinations, and of the six trig functions, not all are appreciated by the machine: (sec, cos, cot, are the bad guys). It only gets worse with the hyperbolics. This is a shame, in my opinion, because manual solutions to problems involving them, really benefit from these scorned functions. Especially, when identities are in play.

However, from a software programmer's point of view ... it is completely understandable. Writing code that considers all the different ways to represent a problem ... well, it wouldn't be fun!