Integration of curves with polar equations

Consider the curves given in polar coordinates by:

r=1+sinθ and r=1+cosθ. Find the area in the region of the first quadrant outside r=1+sinθ and inside r=1+cosθ

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benjigrst
18 November 2014
MSP29281igb4id03a4aheid00005aa61hhe7g3427g4.gif
benjigrst
18 November 2014
See image below, the highlighted area is the section that you are trying to work out the area for, to work this out you work out the integral of r=cos(theta)+1 - the integral of r=sin(theta)+1 between 0 and the intersect of the two curves (pi/4) to give sqrt2 -1 ~~0.414
benjigrst
18 November 2014
Thank you so much!
jayne.lount
21 November 2014
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