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Maths-

General

Easy

Question

Let $f colon R not stretchy rightwards arrow R comma f left parenthesis x right parenthesis equals open curly brackets table attributes columnspacing 1em end attributes row cell vertical line x minus left square bracket x right square bracket vertical line comma left square bracket x right square bracket end cell row cell vertical line x minus left square bracket x plus 1 right square bracket vertical line comma left square bracket x right square bracket end cell end table close$ $table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell text is odd end text end cell row cell 1 text is even where [.] end text end cell end table$ denotes greatest integer function, then $integral subscript negative 2 end subscript superscript 4 f left parenthesis x right parenthesis d x$ is equal to

$\frac{5}{2}$
$\frac{3}{2}$
5
3

The correct answer is: 5

Since these two lines are intersecting so shortest distance between the lines will be 0.
Hence (c) is the correct answer.

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