Help with Integral: \int \frac{\(x+9}{x^2+9} dx

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The integral ∫(x+9)/(x²+9) dx can be approached by separating it into two simpler integrals: ∫(x/(x²+9)) dx and 9∫(1/(x²+9)) dx. The first integral can be solved using substitution, while the second involves recognizing the arctangent function. The discussion highlights the importance of breaking down complex integrals into manageable parts for easier solving. Ultimately, the user successfully solved the integral with the provided guidance.
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\int \frac{\(x+9}{x^2+9} dx

I am not sure where to start. I have a feeling that I need to subsitute twice, but I just don't know what to use first. Any help is appreciated.
 
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\int \frac{x dx}{x^{2}+9} + 9 \int \frac{dx}{x^{2}+9}
 
Wow, that changes everything, ln and tan inverse I think just looking at it, let me try this, I can't believe I overlooked that.
 
Yea, I solved it, thank you for the help.
 
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