How do I integrate (x^2+a^2)^(-3/2)?

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Thread starter overseastar
Start date Feb 16, 2007
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Integral

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overseastar

Thread starter
Feb 16, 2007

I haven't done basic integrals for awhile...but just wondering how you would integrate the following functions without looking it up in the integral table.

(x^2+a^2)^(-3/2) where a is a constant.

Thanks!

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dextercioby

Science Advisor

Insights Author

Feb 16, 2007

Make the substitution [itex]x=a\sinh t[/itex] and then see what you get.

HallsofIvy

Science Advisor

Homework Helper

Feb 16, 2007

The substitution [itex]x= atan(\theta)[/itex] will also work.

How do I integrate (x^2+a^2)^(-3/2)?

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How do I integrate (x^2+a^2)^(-3/2)?

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