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Area bounded by the curve [|x|] + [|y|] ...

Area bounded by the curve `[|x|] + [|y|] = 3,` where` [.]` denotes the greatest integer function

Text Solution

Verified by Experts

The correct Answer is:
3
`[2x]=0rArr2x in [0,1]`
`rArr x in [0,1//2] rArr [y]=5rArr y in [5,6)`
Similarly we can consider `[2x]=1,2,3,4 and 5`

From the graph, area is 3 sq. units
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