Do I need to use partial fractions here? I think I can just simplify this first to 1/(x+3) and then integrate using ln. Thoughts?
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Yup! I think the book included that question because it shows you don't need to always use partial fractions. Same thing with integrating 1/(x^2 +1) is just arctan(x).
I started doing partial fractions and ended up get A=0. I gotta remember to try simplifying and rewriting first!