Need help with setup...

[hank]

I just can't figure out how to set this guy up..

Find area of region inside r = 1 + sin@ and outside r = 1 + cos@.

I set
1 + sin@ = 1 + cos@ which gives me an intersection point of pi/4.

From here, I'm not sure how to set my limits. I think the equation should be something like:

A = .5S(1+sin^2@) d@ - .5S (1+cos^2@) d@

but the limits escape me.

 

[galactus]

\(\displaystyle \L\\\frac{1}{2}\int_{\frac{\pi}{4}}^{\frac{5{\pi}}{4}}[(1+sin({\theta}))^{2}-(1+cos({\theta}))^{2}]d{\theta}\)

 

[hank]

Thanks tons, I got it now.

I didn't see that second intersection point of the two regions and that's what threw me off.