Question

integral of [ln(1+x)]/[1+x^2]

Answer 1

have you thrown it in wolfram?

it's not pretty at all

Answer 2

parts?

Answer 3

leads nowhere. i started doing it and deleted it all lol

Answer 4

the integral is non elementary.
However the definite integral is pretty interesting
http://www.wolframalpha.com/input/?i=+Integrate%5BLog%5B1+%2B+x%5D%2F%281+%2B+x%5E2%29%2C+%7Bx%2C+0%2C+Infinity%7D%5D

Answer 5

I need the solution @experimentX

Answer 6

@bhaskarbabu do you know what are non elementary integrals?

Answer 7

no

Answer 8

then you should know
http://en.wikipedia.org/wiki/Nonelementary_integral
I think the indefinite integral of this is non elementary.

Answer 9

perhaps your integral is log(1+x)/(1+x)

Answer 10

the question is correct

Answer 11

i think i should learn non elementary integrals

Answer 12

I remember doing this problem for limits 0 to infinity
http://en.wikipedia.org/wiki/Methods_of_contour_integration#Example_.28V.29_.E2.80.93_the_square_of_the_logarithm

Answer 13

if you like you can express the integral as series
http://www.wolframalpha.com/input/?i=expand+Log%5B1+%2B+x%5D%2F%281+%2B+x%5E2%29+at+x%3D0
and integrate term by term

Answer 14

thankq for the help @experimentX