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The value of I = int(-1)^(1)[x sin(pix)]...

The value of `I = int_(-1)^(1)[x sin(pix)]dx` is (where [.] denotes the greatest integer function)

A

`pi`

B

`2pi`

C

`0`

D

`-pi`

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Knowledge Check

  • The value of int_(1)^(10pi)([sec^(-1)x]) dx (where ,[.] denotes the greatest integer function ) is equal to

    A
    `(sec1)-10pi`
    B
    `10pi-sec1`
    C
    `pi-sec 1`
    D
    None of these

  • The value of int_(0)^(2pi)[sin 2x(1+cos 3x)]dx , where [t] denotes the greatest integer function, is:

    A
    `-pi`
    B
    `2pi`
    C
    `pi`
    D
    `-2pi`

  • The value of int_(0)^(10pi)[tan^(-1)x]dx (where, [.] denotes the greatest integer functionof x) is equal to

    A
    `tan 1`
    B
    `10 pi`
    C
    `10 pi -tan 1`
    D
    None of these

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