GATE Mechanical Engineering (ME) 2020 Shift 1 Solved Paper

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Question : 5 of 65

Marks: +1, -0

Define

[x]

as the greatest integer less than or equal to

x

, for each

x ∈(-∞, ∞)

, If

y=[x]

then area under

y

for

x ∈[1,4]

is

1
3
4
6

Solution:

y = [x]

Area under the curve

y = [x].

Area

=1 × 1+1 × 2+1 × 3

=1+2+3

=6

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