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Integration by parts

  1. Jul 13, 2009 #1
    1. The problem statement, all variables and given/known data
    I(xsin^2x,x)
    (1/2)I(x(1-cos2x),x)
    (1/2)I(x,x)-(1/2)I(xcos2x,x)
    x^2/4-(1/2)I(xcos2x,x)
    u=x du=dx
    dv=cos2x v=sin2x/2
    x^2/4-xsin2x/4+I(sin2x,x)/4
    x^2/4-xsin2x/4-cos2x/8+C
    book is showing a diffrent solution from integrating by parts before power reduction
    can somone please confirm


    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 13, 2009 #2

    zcd

    User Avatar

    Your answer is correct.
     
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