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At what values of m does the integral in...

At what values of m does the integral `int_(0)^(2)(1-cosx)/(x^(m))dx` converge ?

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Knowledge Check

  • The value of the integral int_(0)^(2)x[x]dx

    A
    `(7)/(2)`
    B
    `(3)/(2)`
    C
    `(5)/(2)`
    D
    none of these

  • The value of the integral int_(0)^(pi)(1-|sin 8x|)dx is

    A
    0
    B
    `pi-1`
    C
    `pi-2`
    D
    `pi-3`

  • The value of the integral int f_(0)^(2)|x^(2)-1|dx is

    A
    0
    B
    2
    C
    `-(1)/(3)`
    D
    `-2`

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    The value of the integral int_(0)^(1) x(1-x)^(n)dx , is

    The value of the integral int_(0)^(1) (1)/((1+x^(2))^(3//2))dx is

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