I have the parametrization of the curve:
x=e^t * cos(t)
y=e^t * sin(t)
and I am asked to find the length of the curve, between t=0 and t=2pi.
IF I haven't made any mistakes, I end up with:
INT (from 0 to 2pi) sqrt( 2*e^(2t) + 1 ) dt
Now, provided I haven't come to the wrong integral, how do I integrate this (i.e. sqrt (2*e^(2t) + 1) ) ?
I have forgotten all my integration skills, so thanks for any help.