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Question

if [.] denotes the greatest integer function,then the value of 21([x2][x2])dx: is

A
4+3+2
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B
4+32
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C
432
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D
43+2
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Solution

The correct option is C 432
21([x2][x]2)dx

=21[x2]dx21[x]2dx

=21[x2]dx+32[x2]dx+23[x2]dx21[x]2dx

=21dx+322dx+233dx21dx

(21)+2(32)+3(23)1

=21+2322+6331

=432

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