Show whether or not each of the following integrals converge:

i) http://www.cramster.com/Answer-Board...4537506141.gif

ii) http://www.cramster.com/Answer-Board...6725006318.gif

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- May 4th 2008, 10:56 AMmatty888Converging integrals
Show whether or not each of the following integrals converge:

i) http://www.cramster.com/Answer-Board...4537506141.gif

ii) http://www.cramster.com/Answer-Board...6725006318.gif - May 4th 2008, 11:23 AMPeritus

now it's easy to verify that:

thus:

now:

thus according to the comparison test we conclude that the integral converges.

2.

note that the integrand is an even function, thus:

now following the lines of the previous exercise we note that:

.... - May 4th 2008, 11:40 AMKrizalid
- May 4th 2008, 11:48 AMPeritus