anonymous
  • anonymous
integral of [ln(1+x)]/[1+x^2]
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
have you thrown it in wolfram? it's not pretty at all
anonymous
  • anonymous
parts?
anonymous
  • anonymous
leads nowhere. i started doing it and deleted it all lol

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experimentX
  • experimentX
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
anonymous
  • anonymous
I need the solution @experimentX
experimentX
  • experimentX
@bhaskarbabu do you know what are non elementary integrals?
anonymous
  • anonymous
no
experimentX
  • experimentX
then you should know http://en.wikipedia.org/wiki/Nonelementary_integral I think the indefinite integral of this is non elementary.
experimentX
  • experimentX
perhaps your integral is log(1+x)/(1+x)
anonymous
  • anonymous
the question is correct
anonymous
  • anonymous
i think i should learn non elementary integrals
experimentX
  • experimentX
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
experimentX
  • experimentX
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
anonymous
  • anonymous
thankq for the help @experimentX

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