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aditya.sinha

  • 4 years ago

integration of ln(sinx) ?

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  1. aditya.sinha
    • 4 years ago
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    \[\int\limits_{}^{}\ln(sinx)\]

  2. Ishaan94
    • 4 years ago
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    You must remember the by parts rule right?

  3. aditya.sinha
    • 4 years ago
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    yes i know.

  4. Ishaan94
    • 4 years ago
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    1*ln(sinx)

  5. Ishaan94
    • 4 years ago
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    Take 1 as the function to integrate and ln(sinx) to differentiate

  6. aditya.sinha
    • 4 years ago
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    \[\int\limits_{}^{}u.v=u \int\limits_{}^{}v-\int\limits_{}^{}(du/dx.\int\limits_{}^{}vdx)\]

  7. aditya.sinha
    • 4 years ago
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    is it right ?

  8. Ishaan94
    • 4 years ago
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    ah Yes it is U = ln sinx V =1

  9. aditya.sinha
    • 4 years ago
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    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

  10. Ishaan94
    • 4 years ago
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    okay use by parts after substitution again

  11. Ishaan94
    • 4 years ago
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    \[x = sin^{-1}t\]

  12. aditya.sinha
    • 4 years ago
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    trying ...

  13. aditya.sinha
    • 4 years ago
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    \[x=\sin^{-1} t \] didnt work well ..it gets me more to intgrate

  14. Ishaan94
    • 4 years ago
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    yup okay I have to try it on my notebook

  15. aditya.sinha
    • 4 years ago
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    thank you very much . sensei

  16. Ishaan94
    • 4 years ago
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    http://www.wolframalpha.com/input/?i=ln%28sinx%29

  17. Ishaan94
    • 4 years ago
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    ah I didn't get much ahead but see the integral scroll down a little

  18. aditya.sinha
    • 4 years ago
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    This one was pretty tough. wondering why these questions are given to IIT aspirants

  19. Ishaan94
    • 4 years ago
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    lol

  20. Ishaan94
    • 4 years ago
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    Yea I know did you solve quadratic for IIT

  21. Ishaan94
    • 4 years ago
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    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

  22. Ishaan94
    • 4 years ago
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    question is quadratic related

  23. Ishaan94
    • 4 years ago
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    http://openstudy.com/users/ishaan94#/users/ishaan94/updates/4e5be0050b8b1f45b4865084

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