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patbatE21

  • 4 years ago

Explain why each of the following integrals is improper.

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  1. patbatE21
    • 4 years ago
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    \[\int\limits_{0}^{\pi/2}secx dx\]

  2. anonymous
    • 4 years ago
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    because \[\sec(\frac{\pi}{2})\] is undefined

  3. patbatE21
    • 4 years ago
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    \[\int\limits_{0}^{2} ((x)/(x^2 -5x +6)) dx\]

  4. anonymous
    • 4 years ago
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    since \[\sec(x)=\frac{1}{\cos(x)}\]and \[\cos(\frac{\pi}{2})=0\]

  5. anonymous
    • 4 years ago
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    second one because the denominator is zero at x = 2

  6. patbatE21
    • 4 years ago
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    \[\int\limits_{-infinite}^{0} ((1)/(x^2 +5)) dx\]

  7. patbatE21
    • 4 years ago
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    So the first one can be called a infinite discontinuity I'm guessing

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