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The value of int(-1)^(3){|x-2|+[x]} dx, ...

The value of `int_(-1)^(3){|x-2|+[x]} dx`, where [.] denotes the greatest integer function, is equal to

A

5

B

6

C

3

D

None of these

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

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    C
    `-3`
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  • int_(0)^(2pi)[|sin x|+|cos x|]dx , where [.] denotes the greatest integer function, is equal to :

    A
    `pi`
    B
    `2pi`
    C
    `pi//sqrt(2)`
    D
    `pi sqrt(2)`
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