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Question

Find the area of the region bounded by y=x and y=x.


Solution

Given equation of curves are y=x and y=x.

x=xx2=x

x2x=0x(x1)=0

x=0,1

Required area of shaded region, A=10(x)dx10xdx=[2.x323]10[x22]10=23.112=2312=16sq units 

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