After you get your derivative, square it and all that.
which is not too bad to integrate...no radical.
Most of these things are made to simplify down with some algebra.
Find the length of the curve:
If I understand correctly, Length = integral from 1 to 2 of
So in this case, I need to find y' and substitute it in the formula and then find the integral.
Then I plug in y' into the formula to get (integral from 1 to 2)
L = I'm not sure where to go from here to make the integration work. I've been stuck on this for a while, so if anyone could help, I'd appreciate it!
Continuing on.. for the integration of x^2+1 / 2x I got:
I did this by making u = 2x du = 2 and dx = 1/2
Is this even close?
If so, then since the curve length is from 1 to 2, would I input 2 and 1 and subtract to find the difference? Is the "C" ignored in this sense?
length = .1115717757 ??