Re: hints for comparing integral

On 4 mayo, 11:10, José Carlos Santos <jcsan...@xxxxxxxx> wrote:
On 04-05-2008 19:02, Carl R. wrote:

Let f(x) = 1/ln(x). Is int (f(x) dx, x , 0, 2) convergent or
divergent?

I tried to look at int (f(x) dx, x , 1, 2) and compare it to 1/x
because 1/ln(x) > 1/x for x greater than 1, but that didn't help
because int (1/x dx, x,1,2 ) is convergent. Any hints?

Compare it with int(1/(x - 1), 1 <= x <= 2) instead.

Best regards,

Jose Carlos Santos

Oh thanks a lot! that works!



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