Question

finding arc length: x = 1+3t^2 ; y = 4+2t^3
After I have dx/dt = 6t and dy/dt = 6t^2 I'm getting wrong answer

Answer 1

from 0<t<1

Answer 2

Three references:

1) NOTES http://tutorial.math.lamar.edu/Classes/CalcII/ParaArcLength.aspx

2) VISUALIZE http://www.math.psu.edu/dlittle/java/calculus/parametricarclength.html

3) VIDEOS
a) http://patrickjmt.com/arc-length-using-parametric-curves-ex-1/
b) http://patrickjmt.com/arc-length-using-parametric-curves-ex-2/

Hope this helps! :)