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Integral involving exponential functions

  1. Aug 11, 2015 #1
    Please help give references on solving the following integral:

    [tex] \int\frac{1}{c_{1}e^{ax}+c_{2}e^{bx}}dx [/tex] where [tex] a\neq b [/tex]

    Thanks a lot in advance.
     
  2. jcsd
  3. Aug 11, 2015 #2

    mathman

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    Gradshteyn and Ryzhik is the most complete table of integrals that I am aware of.
    They do not have the integral you want, except for special cases, a = - b or a = 0.
     
  4. Aug 11, 2015 #3
    It seems that we need to get involved in a hypergeometric function, but no more detailed references...
     
  5. Aug 12, 2015 #4

    mathman

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    Are you asking for indefinite integral or definite integral? For definite integral [itex](0,\infty)[/itex], the reference I cited above has many expressions that look similar to what you have. As I noted above, nothing for indefinite integral.
     
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