arc length and parameterized curve length
help would be much appreciated becasue i have been trying and cannot find out how to do these two problems.
1) Find the length of parametrized curve given by
x(t) = 0t^3-3^2+6t, y(t)= -1t^3+3t^2+0t t from 0 => 1
and i know L = integral (0 to 1) sqrt( (-6t+6)^2 + (-3t^2+6t) )
but do not know how to proceed through the integral and all..
and 2) Find the length of the arc formed by
x^2 = 10y^3
from point A to point B where, A = (0,0) and B = (100,10)
no idea where to go on that one and help ASAP would be great seeing as its due soon.
thank you once again for any help