Need to solve: Int (x/(sqrt((exp(x)-a)*(b-exp(x))) dx  TOPIC_SOLVED

Limits, differentiation, related rates, integration, trig integrals, etc.

Need to solve: Int (x/(sqrt((exp(x)-a)*(b-exp(x))) dx

Postby leotrav on Wed Jul 08, 2009 9:58 am

Int (x/(sqrt((exp(x)-a)*(b-exp(x))) dx

In my opinion is impossible.
Please help myself to rearrange in term of special function
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Postby stapel_eliz on Wed Jul 08, 2009 1:37 pm

Wolfram's online integrator could not come up with an answer when differing numbers were plugged in for "a" and "b". This suggests that your conclusion may be correct.... :confused:

Note: I first used a = 1, b = 2, and entered "x/Sqrt[(Exp[x]-1)(2-Exp[x])]" in the box. When I plugged "2" in for each, The Integrator returned the following:

. . . . .

...where "Li2" is something called the "polylog function"...?
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