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§ Counterexample to Fundamental Theorem of Calculus?

created 2022-05-30
  • Integral of 1/x^2 from [-1, 1] should equal -1/x evaluated at (-1, 1) which gives -1/1 - (-(-1)/1), that is, -1 - 1 = -2.
  • But this is absurd since 1/x21/x^21/x2 is always positive in [−1,1][-1, 1][−1,1].
  • What's going wrong?
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