Find the area inside the larger loop and outside the smaller loop of the limacon
r= 1/2 + Cos[x]
I never calculated the answer, I assume you are capable of doing the integration on your own, so I don't know what answer you got or whether or not it is correct.
I do believe galactus' solution would give a different answer from mine though, but i think i'm right (i may be wrong )
i'd go with the first formula i used, not the difference of two integrals, but the single one
I agree with Galactus . . .
Originally Posted by galactus
I would use: .
The integral is: .
. .
The "outer" area is: .
. .
. .
The "inner" area is: .
. .
. .
The desired area is: .
Check my work . . . please!
I've check and double-checked.
. . If there are errors, I can't find them.