Where did you get this problem? It is pretty standard Calculus problem- are you not taking Calculus and have not learned this?
If y= f(x), the arclength, from x= a to x= b, is given by .
Can anyone explain a method on how to go about this problem? I don't care for the answer; I'm just perplexed on how to begin the problem in a successful manner. Thanks!
edit here's syntax:
Thanks! Oh, so you have to find the derivative of y and plug into the length formula you've provided right?
My instructor hasn't covered this (yet?) and gave this as one of a bunch of questions to do for next week. Had no clue what formula to use but thanks for clearing that up!
Original problem:y=sqrt(x-x^2)+arcsin(sqrt(x))
Sorry, this is the derivative of y I got to plug into the Length formula:
sqrt(-(-1+x) x)/x
Does anyone know what the bounds are and how to find them? Do we set the original y equation = to 0?
I think it may be 0 to 1 but have no clue as to why.