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[tex]\int{\frac{x^3+x^2+x-1}{x^2+2x+2}dx}[/tex]

I divided the polynomails and got:

[tex]\int{(x-1)dx}+\int{\frac{x+1}{x^2+2x+2}dx}[/tex]

This becomes:

[tex]x^2-x+\int{\frac{x}{x^+2x+2}dx}+\arctan{(x+2)}[/tex]

If I've done this right, how do I integrate the third term?

The arctan should have the (x+2) in brackets but I'm not too skilled in the use of Latex.

I divided the polynomails and got:

[tex]\int{(x-1)dx}+\int{\frac{x+1}{x^2+2x+2}dx}[/tex]

This becomes:

[tex]x^2-x+\int{\frac{x}{x^+2x+2}dx}+\arctan{(x+2)}[/tex]

If I've done this right, how do I integrate the third term?

The arctan should have the (x+2) in brackets but I'm not too skilled in the use of Latex.

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