Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    0
    ReputationRep:
    Attempting past exam question papers. I know there may be other methods to solve this problem, but this is way I need to solve it. Can anyone spot where I am going wrong, as I have been told that in the exam papers, itshould simplify down to a easier factorisation, thought it may not in this case.

     \int (1/ (3+sin(x))) dx over the range 0 to 2pi.

     z=exp(ix); dz/dx = i z; 0<x<2pi



sin(x) = 1/2i (z - 1/z)

    Substituing these into the above;

     \int ( 2/(z^{2} +6iz - 1))

    Is this correct?
    Offline

    3
    ReputationRep:
    (Original post by bikinmad)
    Attempting past exam question papers. I know there may be other methods to solve this problem, but this is way I need to solve it. Can anyone spot where I am going wrong, as I have been told that in the exam papers, itshould simplify down to a easier factorisation, thought it may not in this case.

     \int (1/ (3+sin(x))) dx over the range 0 to 2pi.

     z=exp(ix); dz/dx = i z; 0<x<2pi



sin(x) = 1/2i (z - 1/z)

    Substituing these into the above;

     \int ( 2/(z^{2} +6iz - 1))

    Is this correct?
    This is correct for me
    but i'd use the
    t=\tan \frac{x}{2} substitution
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    Brussels sprouts
    Useful resources

    Make your revision easier

    Maths

    Maths Forum posting guidelines

    Not sure where to post? Read the updated guidelines here

    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
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

    Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

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