I'm teaching myself calculus and I can't figure out how to do the problems below. Please explain how to do them because my book is confusing me.
Find the area of the region:
1.) Inside r = 2acos(theta) and outside r = a
Find the length of the curve over the given interval:
2.) r = 2acos(theta)
3.) r = 8(1+cos(theta))
Don't be so rude - you don't get given walkthroughs on this site, you get given hints so that you can do your own work!
If you convert to cartesians and use horizontal strips, you'll see that the x values are bounded between and the y values are bounded between . So the double integral is