what would your bounds be if you were looking for the area of the polar function r=2+4cosx but not including the small loop. the picture is in this link: http://tutorial.math.lamar.edu/Classes/CalcII/PolarArea.aspx
Stacey Warren - Expert brainly.com
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The bigger one is a specific shape, I forgot the name, it is given as a question or problem all the time. I don't know if the cos thing is different from that one given, but it has its own name and cosine thingy.
right, but if you were looking for the total area of that, what would be the bounds of the integral?
It would have something that looks just like the other one. Let me find. One guy was here the other day asking tons of questions about it.
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i think it could be from 0 to 2pi/3
It's called a cardioid r=a(1-costheta)
yes, thank you. Do you agree with my proposed bounds?
In double integrals, I think it goes 0 to 2 pi. But it is such a familiar shape (I think its in medical, it looks like an eyeball) it is easily done in single integral. The integral of (1/2) r^2 dtheta
Now the info I gave you was for the cardioid without the inner loop. With it, a different approach.