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The Fundamental Theorem of Calculus

  1. Jan 21, 2015 #1
    1. The problem statement, all variables and given/known data
    Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your result.
    Integral from [1 to 2] of (3/x^2 - 1)

    2. Relevant equations
    The answer is 1/2
    f(x)dx= F(b) - F(a)

    3. The attempt at a solution
    I tried taking it to make it -x^-3 - 1x as the antiderivative but when I put 2 in and then 1 I don't get the answer.
     
  2. jcsd
  3. Jan 21, 2015 #2

    Nathanael

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    Homework Helper

    Take the derivative to check your answer. Is it correct?
     
  4. Jan 21, 2015 #3
    Gosh dang it I was going down in exponent when I should have been going up. The new derivative would be -3x^-1 -1x making the answer be -3.5+4 Thus the answer is .5. Thank you so much.
     
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