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U substitution with definite integral

  1. Feb 16, 2012 #1

    jtt

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    1. The problem statement, all variables and given/known data
    make a u- substitution and integrate from u(a) to u(b)


    2. Relevant equations
    ∫[0,1] √(t^5+2t) (5t^4+2) dt



    3. The attempt at a solution
    u= t^5+2t du= 5t^4+2

    u(1)=2 u(0)=0

    ∫[0,1] √(u) du

    (2/3)(u)^3/2+c l[0,2]

    (2/3)( 0^5+2(0))^3/2- (2/3)(2^5+2(2))^3/2
    0+ 24^3/2

    the textbook answer is 2√3 but I don't know where I messed up
     
  2. jcsd
  3. Feb 16, 2012 #2

    SammyS

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    u(1)=(1)5 +2(1) = 3 not 2 .
     
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