INSTANT FAN / MEDAL
Find the area of the region that is inside the graph of r = 1 + sin θ and outside of the graph of r = 1.

Question

INSTANT FAN / MEDAL 
Find the area of the region that is inside the graph of r = 1 + sin θ and outside of the graph of r = 1.

czesc · Answer

1.785
	5.571
	2.785
	1.393
ARE possible answers

anonymous · Answer

First equal two equations to find intersections and in which angles that happens:
$1+\sin{\theta }=1$
$ \theta = 0 $,$ \theta = 2\pi $

anonymous · Answer

now, calc the integral:
$$ A=\int_{0}^{2\pi} \frac{1}{2} [(1+\sin{\theta })^2-(1)^2]d\theta  $$

czesc · Answer

@M4thM1nd when I plug that into my calculator I get -1.57//-pi/2

czesc · Answer

Yeah that's getting a negative answer.

anonymous · Answer

czesc · Answer

what'd you guys get for the area?