I am doing the integral from 0 to 3 of the magnitude of
the derivative, but I'm not sure how to do it due to 0 being in the
denominator for one of the parts. What do I need to do different?
Thanks!
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Ehr....OK, I guess you're deducing the wrong limits of integration from those two endpoints of the curve, (12,6,0) and (36,54,6 ln(3)). You see, t=0 is not what you need to plug into r(t) to get (12,6,0) because that says that 6 ln(0) = 0, when really it is not even defined. What *is* true is that ln(1)=0. So the real limits of integration should be from t=1 to t=3.
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