Help me please to solve these problems on the application of integral calculus to problems of geometry:
1. Find a length of the curve y = ln(cos(x)) +2, 0 =< x =< pi/6.
2. Find a length of the polar curve r = sqrt(2)*exp{fi}, 0 =< fi =< 2pi.
3. Find a length of the parametric curve x = 3(t - sin(t)), y = 3(1 - cos(t)), 0 =< t =< 2pi.
4. Find a square which limited the polar curve r = a*cos(3*fi), 0 =< fi =< 2pi.
For me these problems have been the most difficult some of them, I began to deal with, but my answers were not correct.
Tell me please, what program would be easier to do the drawings for these tasks.
Thank advance!