1. Using integration, prove that the curves y2=4x and x2=4y divide the area of the square bounded by x=0,x=4,y=4 and     y=0 into the equal parts.
2. Using integration, find the area of the region {(x,y):y2<= 6ax and x2+y2=16a2}
3. Using integration, find the area of the region bounded by the curves, y=root of 4 - x2 ; x2+ y2- 4x= 0 and x-axis.  

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