TI-M: Ooh...'nother integral question :)
[Prev][Next][Index][Thread]
TI-M: Ooh...'nother integral question :)
Although it's not really necessary for the calculus class I'm taking, I would
be interested in knowing how to integrate sin(x)^n dx / (sin(x)^n + cos(x)^n)
for n = 3, 5, and 7. I figured out how to do it for n = 1 (found it
challenging) and for n = 2 (easier...), but for n = 3 stumped me (the TI-89
was able to do it though). For n = 5, it's a big ass antiderivative (89 did
that one, too); I wouldn't really expect anyone to do that by hand, but you
never know what aspiring souls are out there... For n = 7, I have no idea
what the function is, since the TI-89 isn't able to do this one (within a
reasonable amount of time...). I might try n = 4 before the homework is due
on Tuesday...
Thanks in advance for any comments,
JayEll