Integrating (x+9)/(x²+9)

[laker88116]

$$\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.

 

[Pyrrhus]

Try

$$\int \frac{x dx}{x^{2}+9} + 9 \int \frac{dx}{x^{2}+9}$$

 

[laker88116]

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.

 

[laker88116]

Yea, I solved it, thank you for the help.