Question

How do determine the area common to the 2 curves, Given r^2 = 4 sin(2 theta) and r = √2. (Set up integral do not solve)?

Answer 1

you can get your integration limits from this.....

but, **warning**,do not open it if you are not intending to/ or do not want to use computerised graphing....

https://i.gyazo.com/2bb01b6dbd5d7c749ade3b04a4ef88f1.png

Answer 2

you need to draw the limniscate or what ever it is called and the circle whose ridius is root(2)
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limniscate takes some points for theta and r^2 and r

Answer 3

you could do \[r=\pm 2\sqrt{\sin(2\theta)}\]