Hopefully this helps. It's the right answer. I checked it in my computer algebra software too.
integral sqrt(r^2-(h cos(t)-a sin(t))^2) (a cos(t)+h sin(t)) (h cos(t)-a sin(t)) dr =
1/4 (h cos(t)-a sin(t)) (a cos(t)+h sin(t)) (r sqrt(-2 (a^2+h^2-2 r^2)+2 (a^2-h^2) cos(2 t)+4 a h sin(2...
there is no such thing as time. just a figment of our imaginations. Albert Einstein was the smartest man to ever live and he said time is just an illusion.
Take it from someone who took calc 2 at the nations' #1 engineering, math and science college. Calc 2 is full of integrals (finding areas, volumes), derivatives, series' (Taylor, Maclaurin), and sequences. Focus on those 4 things and you're sure to do well.
English, spanish, german, french, japanese, chinese, hungarian, philipino, dutch, vietnamese, arabic, portugese, punjabi, and italian...all languages i wish i could speak but can only speak 2 of them :)
If you are listening to an instructional tape where they say the words in spanish AND english, then it might be beneficial. But if you're just listening to spanish speaking tapes, forget it. You can't learn that way. If you really want to learn spanish, try Rosetta Stone. It's expensive, but...
Well, I took Calc I, II, and III my freshman year of college so I know what material you want to know for sure.
1. Basic derivatives (1st order, 2nd order, etc..)
2. Series (Taylor and Maclaurin)
3. Limits (need this before you do series)
4. Convergence/divergence
5. Trig identities...
Well, your first mistake is using the velocity function as your speed function. Velocity IS NOT the same as speed. Speed is the magnitude of velocity. You should probably fix that first. Everything else will fall into place as you go along.