Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

How to solve this integration

  1. Jul 27, 2011 #1
    I need help how to solve this integration:

    [tex]\int_0^h sin[\beta(h-z)] \; cos(\beta\;z \; cos \theta)\; dz[/tex]

    I tried substitution of [itex]\;U=\beta(h-z)\;[/itex] and going nowhere. [itex]\; cos(A+B)\;[/itex] type of method won't work either because you can't get A and B out of this. Please help.


    Last edited: Jul 27, 2011
  2. jcsd
  3. Jul 27, 2011 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Use one of the prosthaphaeresis formulas:

    [tex]\sin\theta\cos\phi=\frac{\sin(\theta+\phi)+\sin(\theta -\phi)}{2}[/tex]
  4. Jul 28, 2011 #3
    Sorry to acknowledge so late, took me a while to work it out.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook