anonymous
  • anonymous
integration of ln(sinx) ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
\[\int\limits_{}^{}\ln(sinx)\]
anonymous
  • anonymous
You must remember the by parts rule right?
anonymous
  • anonymous
yes i know.

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anonymous
  • anonymous
1*ln(sinx)
anonymous
  • anonymous
Take 1 as the function to integrate and ln(sinx) to differentiate
anonymous
  • anonymous
\[\int\limits_{}^{}u.v=u \int\limits_{}^{}v-\int\limits_{}^{}(du/dx.\int\limits_{}^{}vdx)\]
anonymous
  • anonymous
is it right ?
anonymous
  • anonymous
ah Yes it is U = ln sinx V =1
anonymous
  • anonymous
i got stuck up at \[x \ln sinx.\int\limits_{}^{}xcos x dx/sinx\] i cant make substitution of sinx =t as x remains there
anonymous
  • anonymous
okay use by parts after substitution again
anonymous
  • anonymous
\[x = sin^{-1}t\]
anonymous
  • anonymous
trying ...
anonymous
  • anonymous
\[x=\sin^{-1} t \] didnt work well ..it gets me more to intgrate
anonymous
  • anonymous
yup okay I have to try it on my notebook
anonymous
  • anonymous
thank you very much . sensei
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=ln%28sinx%29
anonymous
  • anonymous
ah I didn't get much ahead but see the integral scroll down a little
anonymous
  • anonymous
This one was pretty tough. wondering why these questions are given to IIT aspirants
anonymous
  • anonymous
lol
anonymous
  • anonymous
Yea I know did you solve quadratic for IIT
anonymous
  • anonymous
ah I still can't figure out how am I supposed to do them in 2 minutes I have posted a question go to my profile you will see
anonymous
  • anonymous
question is quadratic related

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