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how to calculate the double integral of f(x,y) within the intersected area?

f(x,y)=a

The area is the intersection of an ellipse and a circle.

Any help will be appreciated, I don't know how to do this.

can I use x=racosθ,y=rbsinθ to transformer the ellipse and circle?

If I can, what's the equation for the circle?

what's the range for r while calculating.

f(x,y)=a

_{0}+a_{1}y+a_{2}x+a_{3}xyThe area is the intersection of an ellipse and a circle.

Any help will be appreciated, I don't know how to do this.

can I use x=racosθ,y=rbsinθ to transformer the ellipse and circle?

If I can, what's the equation for the circle?

what's the range for r while calculating.

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