Results 1 to 3 of 3

Math Help - Trouble with this integral

  1. #1
    Newbie noname's Avatar
    Joined
    Sep 2009
    Posts
    16

    Trouble with this integral

    Hi,

    I'm trying to solve this integral:

    \int \frac{dx}{x(log^2x-1)}

    The integration by parts makes the integral more difficult.

    The integration by substitution brings me to this solution (show steps):
    http://www.wolframalpha.com/input/?i=integrate+1%2F%28x%28%28logx%29^2-1%29%29

    But we don't study hyperbolic functions. There must be another way to solve this exercise...

    Any hint?

    Thank you in advance
    Follow Math Help Forum on Facebook and Google+

  2. #2
    No one in Particular VonNemo19's Avatar
    Joined
    Apr 2009
    From
    Detroit, MI
    Posts
    1,823
    Quote Originally Posted by noname View Post
    Hi,

    I'm trying to solve this integral:

    \int \frac{dx}{x(log^2x-1)}

    The integration by parts makes the integral more difficult.

    The integration by substitution brings me to this solution (show steps):
    http://www.wolframalpha.com/input/?i=integrate+1%2F%28x%28%28logx%29^2-1%29%29

    But we don't study hyperbolic functions. There must be another way to solve this exercise...

    Any hint?

    Thank you in advance
    Hint: Let u=\ln(x), and then figure out how to apply a partial fraction decomposition.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie noname's Avatar
    Joined
    Sep 2009
    Posts
    16
    Thank you

    Now I feel a little silly
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Having trouble with a particular integral
    Posted in the Calculus Forum
    Replies: 2
    Last Post: June 5th 2011, 02:39 AM
  2. having trouble with integral
    Posted in the Calculus Forum
    Replies: 1
    Last Post: December 7th 2010, 08:03 AM
  3. Having Trouble with Integral?
    Posted in the Calculus Forum
    Replies: 7
    Last Post: January 27th 2009, 02:47 PM
  4. This Integral is Giving Me Trouble...
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 18th 2008, 06:52 PM
  5. having trouble with this integral
    Posted in the Calculus Forum
    Replies: 7
    Last Post: June 19th 2007, 12:58 AM

Search Tags


/mathhelpforum @mathhelpforum