Results are out! Find what you need...fast. Get quick advice or join the chat
Hey there Sign in to join this conversationNew here? Join for free

Integral of ln (sin x)

Announcements Posted on
    • Thread Starter
    • 0 followers
    Offline

    ReputationRep:
    Hi,
    Could some one tell me how to do the following indefinite integral


    integral { ln (sin x) dx }

    I thought I can do this by integration by parts. But it doesn't seem to work.

    Thanks
    • 343 followers
    Offline

    ReputationRep:
    I remembered seeing this before somewhere and Google was my friend.

    http://community.boredofstudies.org/...ml#post3316947

    and here:

    http://mathforum.org/library/drmath/view/72243.html

    You may struggle with an indefinite integral!!!
    • 7 followers
    Offline

    ReputationRep:
    Isn't that the definite integral which is possible?

    http://www.wolframalpha.com/input/?i...+ln%28sin+x%29
    • 1 follower
    Offline

    ReputationRep:
    Yay for complex numbers.
    • 0 followers
    Offline

    ReputationRep:
    ...umm damn I've completely forgotton all of C4...
    • 0 followers
    Offline

    ReputationRep:
    (Original post by SimonM)
    Isn't that the definite integral which is possible?

    http://www.wolframalpha.com/input/?i...+ln%28sin+x%29
    the 'polylogarithm function'?

    I get dibs on the loganomial function
    • 343 followers
    Offline

    ReputationRep:
    Let's not torture him:

    http://math.ucsd.edu/~ebender/20B/7_DefInt.pdf
    • 14 followers
    Offline

    ReputationRep:
    Similarly, try \int \ln(1+\tan x)\,dx...
    • Thread Starter
    • 0 followers
    Offline

    ReputationRep:
    Hi,
    Thanks for every one who responded. I made a mistake. It was the improper integral, that I needed to find.

    Actually the definite integral I needed to find is integral {ln (t*cos t) dt.}

    I think I should be able to do it now with the above help.

    Thanks for the help again.
    • Thread Starter
    • 0 followers
    Offline

    ReputationRep:
    Thanks for every one for the help. My problem is resolved.

Reply

Submit reply

Register

Thanks for posting! You just need to create an account in order to submit the post
  1. this can't be left blank
    that username has been taken, please choose another Forgotten your password?
  2. this can't be left blank
    this email is already registered. Forgotten your password?
  3. this can't be left blank

    6 characters or longer with both numbers and letters is safer

  4. this can't be left empty
    your full birthday is required
  1. By joining you agree to our Ts and Cs, privacy policy and site rules

  2. Slide to join now Processing…

Updated: September 27, 2009
New on TSR

Strictly iPlayer

Will you still watch if some BBC programmes go online only?

Article updates
Reputation gems:
You get these gems as you gain rep from other members for making good contributions and giving helpful advice.