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October 2nd, 2011, 07:54 PM   #1
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indefinite?

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October 2nd, 2011, 07:58 PM   #2
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Re: indefinite?

There are multiple ways for an integral to be improper, not just when the limits are +/- infinity.

For instance, the second one has a vertical asymptote at x = 1/2, which is within the limits of integration...
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October 2nd, 2011, 08:01 PM   #3
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Re: indefinite?

do you think it's only those two?
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October 2nd, 2011, 08:07 PM   #4
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Re: indefinite?

The second one is the only one that Wolfram wouldn't integrate they called it a Nonintegrable singularity
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October 2nd, 2011, 08:23 PM   #5
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Re: indefinite?

The first one is ok, since its vertical asymptote is not within the limits of integration.

The second one is improper, as noted above.

The third one is improper since the limits are not finite.

The fourth one is improper since the lower limit of integration is not within the domain of the integrand, it's on a vertical asymptote.
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