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Integration problem

I was wondering if anyone knew how to go about solving this problem.

integrate

r/(1+4r^2)^1/2

I don't think the ln approach would work here, and I can't seem to figure out any other way of integrating this.
Thanks
Reply 1
Avatar for nuodai
nuodai
17
You can't use the logarithm thingmajig because it's not in the form f′(x)f(x)\dfrac{f'(x)}{f(x)}. However, rr is 1/8 times the derivative of 1+4r21 + 4r^2, and so the substitution u=1+4r2u = 1+4r^2 will do the trick.
Reply 2
Avatar for PenguinGuitar
PenguinGuitar
OP
thanks! got it

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