Re: arctan(x)/x^2

From: tommy1729 <tommy1729@xxxxxxxxx>
Date: Mon, 29 Oct 2007 19:40:59 EDT

tommy1729 <tommy1729@xxxxxxxxx> wrote:

Hello all..

I have a problem ... IÂ´m suppost to fiind the
intergral for:

arctan(x) / x^2

[snip]

...please :)

ln(x)-(1/2)ln(x^2+1)-(arctan(x)/x)

Presumably, the antiderivative is to be real, valid
for nonzero x, and so
I don't give your result full marks. [Note that, for
x < 0, your result is
not real.] My result is

- ln(1 + 1/x^2) - arctan(x)/x + C

where C is an arbitrary real constant.

David W. Cantrell

funny
.

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References:
- Re: arctan(x)/x^2
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