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Solve this integral for p

  1. Apr 8, 2009 #1
    for which values of p does the integral converge

    0[tex]\int[/tex]pi/2(tan(x))pdx

    i know there is a rule that a[tex]\int[/tex]1/xαdx
    if
    α>1 does converge
    α<1 does not converge

    so can i apply the same logic here saying
    0[tex]\int[/tex]pi/21/(tan(x))-pdx
    so if

    -p>1 does converge
    -p<1 does not converge

    or is this not good since i have d(x) and not d(tan(x))??

    do i need to say tanx=t dt=dx/cos2x
    if so how do i continue from here since ill have

    [tex]\int[/tex]tp/cos2x dt
    -----------------------------------------

    the books answer is 1<p<2
    can you please show me how
     
  2. jcsd
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