Find the area of the region bounded by x2=4y,y=2,y=4 and the y-axis in the first quadrant.
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Solution
The area of the region bounded by the curve x2=4y,y=2 and y=4, and the y-axis is the area ABCD. Area of ABCD=∫42xdy =∫422√ydy =2∫42√ydy =2⎡⎢⎣y3232⎤⎥⎦42 =43[(4)32−(2)32] =43[8−2√2] =(32−8√23)units