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Evaluate: int0^x[cost]dt where x in (2n...

Evaluate: `int_0^x[cost]dt` where `x in (2npi,4n+1pi/2),n in N ,a n d[dot]` denotes the greatest integer function.

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Knowledge Check

  • 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)`

  • lim_(xrarr oo) (logx^n-[x])/([x]) where n in N and [.] denotes the greatest integer function, is

    A
    1
    B
    -1
    C
    0
    D
    none of these

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