Integrate (x^2 + 5) / (x^2 +1) dx

Oct 2015
27
0
Canada
Do I need to use the complete the square technique to solve this problem?
 
Oct 2015
27
0
Canada
Or can I say that u=x^2 +1, and the numerator becomes u+4?
 
Dec 2013
2,002
757
Colombia
I would write the numerator as \(\displaystyle x^2+1+4\) and then you can split it into two terms \(\displaystyle \int 1 + {4 \over x^2 + 1}\,\mathrm d x\).
 
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