Q&A bank q1.19

Discussion in 'CT6' started by 12345, Jan 15, 2008.

  1. 12345

    12345 Member

    Integration skills are a bit rusty, intermediate steps for this one would be appreciated:

    Integrate (6 x 500^3 t) / ((500 + t^2)^4) dt

    Goes to:

    (-500^3) / ((500 + t^2)^3)

    ???
     
    12345, Jan 15, 2008
    #1
  2. examstudent

    examstudent Member

    hi
    im crap at symbol typing, so cannot show steps, but its one of those integration "function and a derivative rule" i.e use inspection or let the denomiator = u and use substitution
     
    examstudent, Jan 16, 2008
    #2
  3. John Lee

    John Lee ActEd Tutor Staff Member

    Examstudent is right - either you recognise it or use substitution by setting u = 500 + t².

    For CT6 integration by parts and by substitution is an essential tool and it's very rare to have an exam without these...so some practice is required - either go to the library and pick up an old A level (or equivalent) text book, or use our FAC course or I attach some sheets I used when teaching A level many years ago!

    All the best!
     

    Attached Files:

    Last edited: Jan 21, 2008
    John Lee, Jan 21, 2008
    #3
  4. 12345

    12345 Member

    Thanks to both for this, forgot to reply - better late than never!
     
    12345, Mar 8, 2008
    #4

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