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anonymous
 5 years ago
Integral of sqrt(ln(9x))/(sqrt(ln(9x))+sqrt(ln(x+3)))?
anonymous
 5 years ago
Integral of sqrt(ln(9x))/(sqrt(ln(9x))+sqrt(ln(x+3)))?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Try a reduction using Usubstitution and then compare with integration tables...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So far I have tried usub for u=9x, du=dx u=x+3, du=dx u=ln(9x), du=1/(9x)dx u=ln(x+3), du=1/(x+3)dx u=sqrt(u=ln(9x)), du=1/2(9x)sqrt(ln(9x))dx u=sqrt(u=ln(x+3)), du=1/2(x+3)sqrt(ln(x+3))dx u=sqrt(ln(9x))+sqrt(ln(x+3)), du=...messy So far no matches. We have only done basic integration formulas so far in my calc class, but I had a look at the tables and can't see any matches there either. Any ideas? I found a hint that says to use change of variables x=6t to rewrite as \[1(\sqrt{\ln(x+3)}/(\sqrt{\ln(9x)}+\sqrt{\ln(x+3)}))\] but I have no idea how to make that happen!
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