- #1
Charismaztex
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Homework Statement
Find the area between the two curves:
[tex]r=2sin(\theta), r=2(1-sin(\theta))[/tex]
Homework Equations
[tex]
A=\frac{1}{2} \int_{\beta}^{\alpha} r^2 d\theta
[/tex]
The Attempt at a Solution
I've got the points of intersection at [tex](1,\frac{1}{6}\pi) and (1,\frac{5}{6}\pi)[/tex] and worked out the answer to be [tex]\frac{8}{3}-4\sqrt{3}[/tex] using the angles in the above polar co-ordinates as the limits, however my textbook says that the answer is [tex]\frac{7}{3}-4\sqrt{3}[/tex] Is anyone able to confirm which is the correct answer.
Thanks in advance
Charismaztex