Explain why each of the following integrals is improper.

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Explain why each of the following integrals is improper.

Mathematics
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\[\int\limits_{0}^{\pi/2}secx dx\]
because \[\sec(\frac{\pi}{2})\] is undefined
\[\int\limits_{0}^{2} ((x)/(x^2 -5x +6)) dx\]

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Other answers:

since \[\sec(x)=\frac{1}{\cos(x)}\]and \[\cos(\frac{\pi}{2})=0\]
second one because the denominator is zero at x = 2
\[\int\limits_{-infinite}^{0} ((1)/(x^2 +5)) dx\]
So the first one can be called a infinite discontinuity I'm guessing

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