# Thread: integral of polar equationj

1. ## integral of polar equationj

find the area enclosed by the cardioid with polar equation r=1sin(Θ)

how do I find the bounds?

2. Originally Posted by superdude
find the area enclosed by the cardioid with polar equation r=1sin(Θ)

how do I find the bounds?

I suggest showing the curve is closed and when it passes through the origin .

$r = \sin(\theta)$

we know $\sin(n\pi) = 0 , n \in \mathbb{Z}$

Suppose a particle has turned $\pi$ or $180$ degree . It comes back to the origin again !

3. ok thanks