Hey! Sign in to get help with your study questionsNew here? Join for free to post

Integral of ln (sin x)

Announcements Posted on
At uni? What do you think of the careers support? 12-02-2016
How proud of your uni are you? Take our survey for the chance to win a holiday! 09-02-2016
  1. 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
  2. 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!!!
  3. Offline

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

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

    ReputationRep:
    Yay for complex numbers.
  5. Offline

    ReputationRep:
    ...umm damn I've completely forgotton all of C4...
  6. 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
  7. Offline

    ReputationRep:
    Let's not torture him:

    http://math.ucsd.edu/~ebender/20B/7_DefInt.pdf
  8. Offline

    ReputationRep:
    Similarly, try \int \ln(1+\tan x)\,dx...
  9. 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.
  10. 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
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

Today on TSR

Find out who won!

TSR community awards 2015

Poll
Would you be influenced by unis giving flexible offers (so you can miss by a grade)?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read here first

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups
Study resources
Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.