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Mathematics 20 Online
OpenStudy (anonymous):

Lost again

OpenStudy (anonymous):

\[\int\limits_{}^{}\frac{ cosx }{ 3sinx+9 }dx\]

OpenStudy (anonymous):

so u= sinx du/dx= cosx

OpenStudy (anonymous):

du=cosxdx

OpenStudy (anonymous):

You want to get that whole denominator.

OpenStudy (anonymous):

\[ u=3\sin x+9,\;du=3\cos x\;dx \]

OpenStudy (anonymous):

so I would end up with ln(u)/3?

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

so now this next one has the dx inside the problem

OpenStudy (anonymous):

But that's in terms of \(u\).

OpenStudy (anonymous):

yeah I got once I used the right u, just had to put the 3sinx+9 back in for u

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