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What change of variable should I use to integrate $$\displaystyle\int {1\over (1+kx^2)^{3/2}}dx$$

I know the answer is $$\displaystyle x\over \sqrt{kx^2+1}.$$ Maybe a trig or hyperbolic function?

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    Plug x = tan{ y / (k^1/2) }, and you will get, (after simplification) integ {cos(y) / (k^1/2) } from 1 to -12012-03-12
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    sorry i meant plug x = {y} / k^1/22012-03-12
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    You know you could select an answer as accepted answer. (Or vote for answers you like)2012-03-15

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