In finding the area in Polar Coordinates...Why does the lower limit which was -pi/4 turns into 0? See below... Find the area enclosed by one loop of the four-leaved rose r=cos2theta I want to find what will make cos2theta equal 0, right? And that will be pi/2 and 3pi/2 but I will have to divide by 2 which will turn theta into pi/4 and 3pi/4.
I know how to solve this problem, I just do not know why 0 is now the lower limit!
because of symmetry, you can find the area of half the petal going starting from 0
Is it because it is a loop and that it must return back to 0?
Are you shading half of a whole loop?
Thanks ..I think I get it!