Area of a Small Loop of a Lemniscate

[kppc1407]

Homework Statement

Small loop of r=1+2sin2(theta)

Homework Equations

integral of .5[f(theta)]² d(theta)

The Attempt at a Solution

I cannot figure out what the limits of integration are.

 

[payumooli]

find the maxima and minima of the curve in the range 0 to 2pi

the minima will tell you about the small loop, find the value of theta for which f(theta) = 0 preceding and succeding the minima

those are your limits

 

[HallsofIvy]

Here's what I did- use a graphing calculator, set to "polar" mode, and play with the window.