How to get rid of "exponential integral function, Ei(x)" in symbolic math integrartion?!

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Hi,
I'm trying to calculate the integral of the following f(x) in MATLAB:
f(x) = -m/(x*e^mx)
When I write something like this:
syms x m e
int(-m/(x*(e^(m*x))), x)
I get my answwer as a function of exponential integral function, which is ans = m*Ei(1, m*x*log(e))
How can I get rid of Ei(x) and find an exact solution to my problem?
Thanks
  3 个评论
Walter Roberson
Walter Roberson 2015-12-16
You probably want
int(-m/(x*(exp(m*x))), x)
You will still get Ei but you will get a simpler solution that does not depend upon the undefined symbol e

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