Boundary Curves

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Planar region D is given by the following conditions $$25x^2-150x+9y^2\leq 0$$ $$x\leq 3 $$

Determine the boundary curves.

Calculate the mutual intersections of all boundary curves.

I know a method to do this called strokes theorem but there are a few things missing to use that method. Can someone please suggest a way to solve this question or give an answer. Thank you

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The region $D$ is drawn in the picture below. The intersection points are self evident.

The function to integrate is missing :)


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