Original problem:
Find the length of the curve.
I have gotten this far:
but now I'm stuck because I don't perfectly recall the sin/cos/tan identities... I know that if I can get rid of the and I can change to , which I can get the square root of and solve for... but what identities do I need to use? Thanks for any help.
Well, I did not know that you could still have a constant before x in the identity , such as 4 as in my problem, and still have it equal 1.
I thought you had to use another complex identity to get rid of the constant before the variable...
HOWEVER, with that said, after taking the square root I get:
the integral of is , so my final answer is:
L =
which as you can see, has gotten me the big "X"!
Any ideas?
Wow....
Usually it will allow you to just have the general answer without punching it into the calculator, so I never thought of evaluating the secants and tangents...
But sure enough, I put in that answer and it gave me a checkmark. I guess their program isn't completely perfect yet.
Thanks a lot, Reckoner. I had spent around an hour and a half doing the problem over and over to make sure I integrated properly, and it ends up being a server-side problem... Oh well...
Thanks again~