- #1
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Find the region enclosed by one leaf of the function r=2 sin2θ
Now i know how the diagram looks like for this function.
The diagram can be obtained by using :
x= r cosθ = 2 sin2θ cosθ
y= r sinθ = 2 sin2θ sinθ
Now i have to find the region enclosed by one of the leaves which i am not able to do.
I know i have to use the jacobian and also that i can use the above as cylindrical coordinates but what do i integrate? i dont know which function to integrate.
Any Suggestions for that??
thank you
Now i know how the diagram looks like for this function.
The diagram can be obtained by using :
x= r cosθ = 2 sin2θ cosθ
y= r sinθ = 2 sin2θ sinθ
Now i have to find the region enclosed by one of the leaves which i am not able to do.
I know i have to use the jacobian and also that i can use the above as cylindrical coordinates but what do i integrate? i dont know which function to integrate.
Any Suggestions for that??
thank you