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Find the antiderivate

  1. Aug 24, 2008 #1
    1. The problem statement, all variables and given/known data
    Find the antiderivative F of f that satisifies the given condition. Check by comparing the graphs of f and F.

    f(x)=4-3(1+x^2)^-1
    F(1)=0


    2. Relevant equations



    3. The attempt at a solution
    So far what I attempted to do was this:

    F(x)=4x -3tan^-1(x) + C
    but was unsure from here on.
     
  2. jcsd
  3. Aug 24, 2008 #2

    Defennder

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    Homework Helper

    Just plug in the given value for F(1) = 0 and solve for C.
     
  4. Aug 24, 2008 #3
    Ok so my F(x) is correct?

    That was probably the part I needed the most assurance with.
     
  5. Aug 24, 2008 #4

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    (4x)'= 4 and
    (-3 arctan(x))'= -3/(x2+1)
    so what is F' ?

    F(1)= 4(1)- 3arctan(1)+ C= 0. C= ?
     
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