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Homework Help: Typo in Calc. Book

  1. Mar 3, 2012 #1

    Qube

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    Gold Member

    1. The problem statement, all variables and given/known data

    Integrate the definite integral ∫sin(x)dx given b = ∏ and a = 0.

    2. Relevant equations

    Fundamental theorem of calculus; definite integral = F(b) - F(a)

    3. The attempt at a solution

    The anti-derivative is -cos(x).

    F(∏) = -(-1) = 1.
    F(0) = 1.
    F(b) - F(a) = 0.

    Why does the book say the answer is 2 then?
     
  2. jcsd
  3. Mar 3, 2012 #2

    Dick

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    Homework Helper

    Because F(0)=(-1) not 1.
     
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