Thread: limacon area

find the area inside the larger loop and outside the smaller loop



I have found the zeros to be at

and have set up my integral as such to exclude the area between those two points



Resulting in 3.9220114003

This is incorrect, where am I going wrong?

EDIT:

I tried integrating in a different manor



This was correct, but I do not understand why the first solution didnt work

Originally Posted by silencecloak

find the area inside the larger loop and outside the smaller loop



I have found the zeros to be at

and have set up my integral as such to exclude the area between those two points



Resulting in 3.9220114003

This is incorrect, where am I going wrong?

EDIT:

I tried integrating in a different manor



This was correct, but I do not understand why the first solution didnt work

when you integrate from to , the upper half of the inner loop gets included because of the overlap.

same idea for integrating from to ... the lower half of the inner loop gets included because of the overlap.