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Standard table of integrals?

  1. Oct 27, 2010 #1
    I really struggle to integrate this fraction expression:


    [tex] \int \frac{2}{4x^2+1}[/tex]
     
  2. jcsd
  3. Oct 27, 2010 #2
    Re: Integration

    I presume you're familiar with the standard table of integrals?

    http://www.maths.abdn.ac.uk/~igc/tch/ma1002/int/node51.html

    Here's a list of many common ones, see if you can get it into the right form for one of them.

    If you have to work this out by hand, consider using a trigonometric substitution, but choose carefully.

    (Hint: the relationship 1 + x^2 = sec^2 for x = tan x)
     
    Last edited by a moderator: Apr 25, 2017
  4. Oct 27, 2010 #3
    Re: Integration

    Yes, I'm fimiliar with some the of standard table of integrals. I think I just change the equation above in the form
    [tex] \int \frac{1}{x^2+a^2}[/tex] where a is an integer, so that the integration of the equation would likely be
    [tex] \frac{1}{a} arctan(x/a) [/tex]

    But I'm not sure if I've done it right.
     
  5. Oct 27, 2010 #4
    Re: Integration

    You chose the right one, try to get it into a form like that.
     
  6. Oct 27, 2010 #5
    Re: Integration

    Thank you for helping me :D
     
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