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- Apr 24th 2009, 02:43 PM #1

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- Apr 24th 2009, 02:49 PM #2

- Apr 24th 2009, 02:53 PM #3

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As you'll see this is a standard trig integral, but it's better to do it by trig substitution.

Construct a right triangle with a vertical leg of u, a horizontal leg of 1 and by Pythagoras the hypotenuse is . Let theta be the angle such that . You will also notice that , which makes an easy substitution. Make sure to calculate in terms of u, then make the full substitution, integrate, then back substitute.

- Apr 24th 2009, 06:00 PM #4