Results 1 to 3 of 3

Math Help - Trigonometric substitution for integrals

  1. #1
    Newbie
    Joined
    Jun 2008
    Posts
    18

    Question Trigonometric substitution for integrals

    i need help with the question:

    Evaluate the following integral using a trigonometric substitution.

    int[dx/(x^2-1)^(3/2)], x>1

    any help would be appreciated, thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    o_O
    o_O is offline
    Primero Espada
    o_O's Avatar
    Joined
    Mar 2008
    From
    Canada
    Posts
    1,407
    Trigonometric Substitution

    Does your integrand contain any of the forms given in the wiki entry? Yes. x^2 - a^2.

    What trig substitution should you use? x = \cdots
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jun 2008
    Posts
    18
    oh ok so the substution is x=secx

    i got the answer: cosx.ln|sinx|+c

    is this the correct answer?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Trigonometric substitution
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 9th 2010, 09:33 AM
  2. Trigonometric Substitution
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 30th 2010, 08:12 PM
  3. Trigonometric Substitution Q2
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 2nd 2010, 01:12 PM
  4. Trigonometric substitution
    Posted in the Calculus Forum
    Replies: 5
    Last Post: October 19th 2009, 09:52 PM
  5. Trigonometric Substitution Integrals
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 26th 2007, 07:37 AM

Search Tags


/mathhelpforum @mathhelpforum