not a homework problem,
I know it can be done with a trignometric substituion involving sin, but if a class hasn’t covered that yet, how would you begin to integrate the mess resolving from that?
To find the Arc Length, I did
Integral from -4 to 4 of
1/2 (16-x^2)^-1/2 X -2x
then square that, add 1, and then integrate?
it looks even messier in this textbox, but did I err somewhere, or does using trig sub (which we havn’t learned yet) make life a lot easier?