Question

Fan and medal
AP Calculus

Answer 1

@confluxepic

Answer 2

@KendrickLamar2014

Answer 3

@King.Void.

Answer 4

@skullpatrol

Answer 5

Can you help @robtobey ?

Answer 6

So to find the arc length you must use the following
\[l=\int\limits _{x_0}^{x_1} \sqrt{1+f ^\prime (x)^2}dx\]
So in your case that gives
\[l=\int\limits _{0}^{2} \sqrt{1+36 x^4-24 x^2+4}dx\]
Now just apply the trapezoidal rule where h=2/8, N=8 and f(x) is the inside of the integral above
\[\frac{h}{2} \sum_{k=1}^{N} \left( f(x_{k+1}) + f(x_{k}) \right)\]