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

#### Fischercr

Do I need to use the complete the square technique to solve this problem?

#### Fischercr

Or can I say that u=x^2 +1, and the numerator becomes u+4?

#### Archie

I would write the numerator as $$\displaystyle x^2+1+4$$ and then you can split it into two terms $$\displaystyle \int 1 + {4 \over x^2 + 1}\,\mathrm d x$$.

Fischercr

#### Fischercr

Thank you, Archie!

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