Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Indefinite Integral Calculus II

  1. Feb 26, 2010 #1
    1. The problem statement, all variables and given/known data

    [tex]\int \frac{ \tan x \sec^2 x }{ \tan^2 x + 6 \tan x + 8 } dx[/tex]

    2. Relevant equations

    3. The attempt at a solution

    [tex]\int \frac{ \tan x \sec^2 x }{ \tan^2 x + 6 \tan x + 8 } dx[/tex]
    Okay I let....


    Then I got

    [tex]\int \frac{ u }{ (u+4)(u+2) } du[/tex]

    Then I split this into partial fractions which is not working...... for some reason. Can somebody please help me?
  2. jcsd
  3. Feb 26, 2010 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    [tex]\frac {2}{u+4} + \frac{-1}{u+2}[/tex]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook