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The value of int(3(pi)/4)^(pi)[sinx+[(4x...

The value of `int_(3(pi)/4)^(pi)[sinx+[(4x)/pi]]dx` where `[.]` denotes G.I.F.

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Knowledge Check

  • The value of int_(-pi)^(pi) sinx f(cosx)dx is

    A
    `pi`
    B
    `2pi`
    C
    2f(1)
    D
    none of these

  • The value of int_(-pi//4)^(pi//4)(sinx)^(-4) x dx is

    A
    `8/3`
    B
    `3/2`
    C
    `8/3`
    D
    None of these

  • The value of int_(-20pi)^(20 pi) [ sin x + cos x] dx is (where [.] denotes greatest integer function)

    A
    `10 pi`
    B
    `-20 pi`
    C
    `20 pi`
    D
    `-10 pi`

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    int_(pi/3)^(pi/2) sinx dx

    Evaluate int _( pi//4) ^(pi//2)[sin x + [(2x)/(pi)]]dx, (where [**] denotes greatest integer function)

    The value of int_(-pi//2)^(pi//2)(dx)/([x] + [ sin x] +4) , where [t] denotes the greatest integer than or equal to t , is

    The value of int_(-pi//2)^(pi//2)[ cot^(-1)x] dx (where ,[.] denotes greatest integer function) is equal to

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