Q.

The area of the region bounded by x2=8yx=4 and X- axis is

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a

23

b

83

c

43

d

103

answer is C.

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Detailed Solution

The given curves are x2=8y and x=4

The rough sketch for the graph of required region is as below

Question Image

The area of the shaded region is the area of the region bounded by the curve y=x28 between the lines x=0,x=4 and above X- axis. 

We know that the area of the region bounded by the curve y=fxx=a,x=b and above x- axis is abfxdx

Hence, the shaded region is 04x28dx

04x28dx=18x3304 =18643-0 =83

Therefore, the  area of the region bounded by x2=8yx=4 and X- axis is 83sq units

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