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Originally Posted by Stompy
Calc is actually more interesting and meaningful than algebra ever was. I love it.
I ALWAYS wondered where shit like "Volume of Sphere = (4*pi*r^3)/3" came from.. I always asked "WHY is it that?" and the teachers always said "because it is".
Now I know why it is the way it is! Past teachers could've at least told me "you'll find out in calc"
It's actually pretty interesting... and I'd try your problem out, but we haven't done the method you're being taught yet. We're doing integration by parts with the whole "u dv = uv - (u'v dx)" method.
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Thinkin out loud here.. but would arctan work? (nevermind, forgot you were doing partial fractions)
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I agree. Whilst really obnoxious at times, i have to admit that i like the calulus. It's so clever. If your book is anything like mine then you're almost at the point where you could to that problem. We covered substitution by parts a few sections before this problem.
If you're interested in a summary of the solution and the problem it is located on this page in section 4.5.5 at the bottom. Arctan is part of it, but there are also a few ln's in the mix too.
http://kr.cs.ait.ac.th/~radok/math/mat6/calc4.htm