Find the area of the region bounded by x2=16y,y=1,y=4 and the y-axis in the first quadrant.
A
83
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B
563
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C
643
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D
483
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Solution
The correct option is B563 Area(A) of region can be written as A=∫41xdy =∫41√16ydy (not taking negative value because area is asked in first quadrant) =4∫41√ydy =4×23(y32)41 =83(8−1) =563 units