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!

Integration question

  1. Apr 15, 2007 #1
    I would appreciate a hint as how to integrate the following, after some thought, I used Taylor series and integrated in term.

    Thanks

    [tex]\int\sin{x^2}[/tex]
     
  2. jcsd
  3. Apr 15, 2007 #2

    cristo

    User Avatar
    Staff Emeritus
    Science Advisor

    Use the identity [itex]\sin^2x=\frac{1}{2}(1-\cos(2x))[/itex]. This is derived from the double angle formula for cosine; [itex]\cos(2x)=\cos^2x-\sin^2x=1-2\sin^2x [/itex]. Rearranging gives the result.
     
  4. Apr 15, 2007 #3

    mathwonk

    User Avatar
    Science Advisor
    Homework Helper

    sin(x^2) apparently has no elementary integral. hence a taylor series is about all you can do. a discussion of such questions is in a paper on brian conrad's page at umichigan.

    sin^2(x) of course does have, as can be seen by using integration by parts, or the trig identity suggested above.
     
    Last edited: Apr 15, 2007
  5. Apr 15, 2007 #4

    cristo

    User Avatar
    Staff Emeritus
    Science Advisor

    Sorry... I misread it as sin^2(x)!
     
  6. Apr 15, 2007 #5

    Gib Z

    User Avatar
    Homework Helper

    Good Work, Thats the best you can do.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Integration question
  1. Integration question (Replies: 4)

  2. Integral question (Replies: 9)

  3. Integral Question (Replies: 3)

  4. Integration question (Replies: 4)

Loading...