Im a calc2 student but Im trying to do a little more math on my own. A number theory book I have is talking of prime numbers and in this section they say you need to integrate 1/lnx from 0 to x. This is a non elementary function so parts, substitution, etc will not work. I know I have to express this as an infinite series but I dont know how to do this unless its a very simple function. (I can do geometric series expansions and the like but I dont know how to do this as 1/lnx)
Can anyone integrate 1/lnx from 0 to x and explain it detailed steps how they did everything. I want to understand how the function was expressed as a series and what function it gives you. (Since the upper bound is x it should give a function, not a number...right?) Thanks in advance.
2006-09-27
13:19:20
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4 answers
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asked by
James
1
in
Mathematics