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:
which as you can see, has gotten me the big "X"!
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...