Discussion:  All Activities in Calculus on Computer Algebra System 
Topic:  Intigration 
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Subject:  RE: Intigration 
Author:  Mathman 
Date:  Apr 26 2006 
I would like to know which kind of tech that I have to use in
> order to intigrate the the following equation:
e^(8*x) / (
> (x^3)*(4*x + 1) )
I thought I'd see if anyone took a shot first. In any event, this sort of
unresolvable problem is, or used to be common in some internet newsgroups. It
is neither textbook nor of a physical nature, but is devised. Any number of
such problems can be devised by mixing functions in various ways. There is no
analytic solution. There may be a graphical or numerical approximation to the
definite integral, but there is no straightforward workout.
Consider simplifying this for a connection:
1/x^3  4/x^2 + 16/x  64/(4x+1)
Each term is associated with the exponential as the differential portion of the
integral.
Each has a unique form of solution, even if associated with dx, but when
associated with e^(8x) it's simply a can of worms that even the symbolic
algebra programs kick out. Perhaps Mathematica has a solution. I don't have
access to that.
Good luck.
David.
 
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