Integrate question

[webmasterpdx]

I figured out where the 1/48 comes from.
When expanding from cosine terms to sines, there are pi/2 terms in there and they result in constants that accumulate to 1/48. Note that if you put a value in for x like 0.58, you'll get the same value in the original result and the trigsin result iff you include the constant term.

Note, the wolfram alpha term can be obtained by using the tcollect() function on the original result.