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Mathematics 19 Online
OpenStudy (studygurl14):

I'm stuck @solomonzelman

OpenStudy (studygurl14):

OpenStudy (studygurl14):

@jim_thompson5910 @SolomonZelman

OpenStudy (solomonzelman):

\(\color{#000000}{\displaystyle\int\limits_{~}^{~} \sqrt{\color{#0000ff}{\cot x}}\color{red}{\csc^2x~dx}}\) All you need is, \(\color{#0000ff}{\displaystyle u=\cot x}\) \(\color{#000000}{\displaystyle \frac{du}{dx}=-\csc^2 x\quad \Longrightarrow \quad \color{#ff0000}{-du=\csc^2x~dx}}\)

OpenStudy (studygurl14):

Oh. I was overthinking it

OpenStudy (solomonzelman):

Yes.

OpenStudy (studygurl14):

k, thx. I'll try that

OpenStudy (solomonzelman):

Sure; anytime!

OpenStudy (studygurl14):

OpenStudy (studygurl14):

+ C

OpenStudy (solomonzelman):

Yes, correct! \(\color{#000000}{\displaystyle -\frac{2}{3}(\cot x)^{3/2}+{\rm C}}\)

OpenStudy (studygurl14):

YAY

OpenStudy (solomonzelman):

GOod!

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