Was trying to see if I can get the reduction formulas for int(cos(x)^n,x) in maple. But it seems no assumption used can make Maple give any result for this. Mathematica gives a result using Hypergeometric2F1 (even with no assumption on n, which I am not sure about now), but was wondering why maple can't do this one:
int( (cos(x))^n,x) assuming n::integer;
int( (cos(x))^n,x) assuming n::posint;
In Mathematica, I get:
I am newbie in Maple, so may be I am missing some command or doing something wrong.
ps. I was trying to obtain
But this is lost case now. I just need to find out first why int(cos(x)^n,x) does not evaluate to anything in Maple.
fyi, the Hypergeometric result for $\int cos^n(x) \,dx$ can be seen in this reference (half way down the page):
ps. can't one enter Latex in this forum like at stack exchange?