(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

∫5/(4x√(9-16x^{2})dx

2. Relevant equations

I am pretty sure this is in the form of ∫du/(u√(a^{2}-u^{2})

3. The attempt at a solution

setting u=4x a=3 and du=4dx so 1/4du=dx I get:

-5/12 sech^{-1}(4x/3) + C

Is this right or am I using the wrong definition? Just trying to check my answers

Thanks for any help

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# Homework Help: Integral of inverse trig or inverse hyperbolic

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