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!

Simple Antiderivative

  1. Oct 5, 2005 #1
    [SOLVED] Simple Antiderivative

    How would I compute the antiderivative of

    [tex]\int \sqrt{1-\frac{x^2}{2}}[/tex]

    It looks familiar, but I can't quite remember how...
  2. jcsd
  3. Oct 5, 2005 #2

    James R

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member


    [tex]x=\sqrt{2} \sin u[/tex]

    and go from there.
  4. Oct 6, 2005 #3


    User Avatar
    Science Advisor
    Homework Helper

    U can also put the Riemann measure on [itex]\mathbb{R} [/itex] : [itex] dx [/itex]. :wink:

  5. Oct 6, 2005 #4
    Ah yes, of course. Thanks.

    Quick follow-up:

    Last edited by a moderator: Oct 6, 2005
  6. Oct 6, 2005 #5

    James R

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    I think that integrand is related to an inverse hyperbolic trig function... but I'd have to play around with it to work out which one. Maybe somebody else...
  7. Oct 6, 2005 #6
    Perhaps it simply cannot be expressed algebraically?
  8. Oct 6, 2005 #7
    It cannot be expressed in terms of elementary functions, you are correct.

    I love Mathematica :smile:

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

Similar Discussions: Simple Antiderivative
  1. Simple antiderivative (Replies: 6)

  2. The Antiderivative (Replies: 7)

  3. Tricky Antiderivative (Replies: 14)