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Solve definite integrals?

GROUPS:

Hello, Please, I am trying to solve definite integral and its work but the results not simplified.

F = Integrate[(x^4*Exp[x])/(Exp[x] - 1)^2, {x, 0, 44}]

This is the result

(1/(15 (-1 + E^44)))4 (-\[Pi]^4 + 
   E^44 (\[Pi]^4 + 
      30 (-1874048 + 42592 Log[-1 + E^44] - 2904 PolyLog[2, 1/E^44] - 
         132 PolyLog[3, 1/E^44] - 3 PolyLog[4, 1/E^44])) + 
   30 (-42592 Log[-1 + E^44] + 
      3 (468512 + 968 PolyLog[2, 1/E^44] + 44 PolyLog[3, 1/E^44] + 
         PolyLog[4, 1/E^44])))
POSTED BY: studygroups 2000
Answer
9 months ago

What simpler form of result are you expecting?

POSTED BY: Daniel Lichtblau
Answer
9 months ago

A simplification of a definite integral would be a numerical result!

In[214]:= F = N[Integrate[(x^4*Exp[x])/(Exp[x] - 1)^2, {x, 0, 44}]]

Out[214]= 25.9758
POSTED BY: S M Blinder
Answer
9 months ago

@S M Blinder. Thank you. That's what I am looking for.

POSTED BY: studygroups 2000
Answer
9 months ago

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