(Solved): 3. [Straifgtforward] Find the area enclosed by the two curves: y=sin(x/2);x=sin(y/2). Hint: Whe ...

3. [Straifgtforward] Find the area enclosed by the two curves: $y=\sin (?x/2);x=\sin (?y/2).$ Hint: Where do these two curves intersect? (Somewhat tricky; make sure to find all three intersections.) Hint: Sketch the region of interest... Hint: Is there an obvious symmetry? Simplify the region of integration.