1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Integrate that by parts for integral

  1. May 3, 2008 #1
    i need help taking this integral

    [tex]\int[/tex] 9sin[tex]\sqrt{t+1}[/tex]

    help please!!!! i dont even know where to start :[
  2. jcsd
  3. May 3, 2008 #2


    User Avatar
    Science Advisor

    First write it correctly:
    [tex]\int 9 sin(\sqrt{t+1}) dt[/tex]

    Make the obvious substitution [itex]u= \sqrt{t+1}= (t+1)^{1/2}[/itex] so that [itex]du= (1/2)(t+1)^{-1/2}dt[/itex] or 2udu= dt.
    (Equivalently, u2= t+ 1.)

    That changes your integral to
    [tex]9\int u sin(u)du[/tex]
    and you can integrate that by parts.
    Last edited by a moderator: May 3, 2008
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook