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.

Answer 1

1.785
5.571
2.785
1.393
ARE possible answers

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

Yeah that's getting a negative answer.

Answer 6

http://www.wolframalpha.com/input/?i=r%3D1-sin(theta)+

Answer 7

what'd you guys get for the area?