1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Solve this integral for p
  1. P value (stats) (Replies: 0)

  2. P-adic convergence (Replies: 0)

  3. Solve the Integral (Replies: 0)

Loading...