Shouldn't that be ?.2.) sketch and calculate the length of the polar curve y=theta^2 from theta=0 to theta=4pi.
Anyway, arc length in polar is given by
You could use trig sub to solve this by using the sub:
I'm working on two problems. I've some rather rough solutions worked out, but am pretty sure they are wrong. Please show me step-wise the correct way to solve the following problems:
1.) find the center of mass of a region bounded by y=x and y=1-2x^2.
2.) sketch and calculate the length of the polar curve y=theta^2 from theta=0 to theta=4pi.