(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

3. The attempt at a solution

I tried to solve it in 3 ways.

1)[tex]\frac{A}{(x+1)}+\frac{B}{(x^2+1)}+\frac{C}{(x^3+1)}[/tex]

2)[tex]\frac{A}{(x+1)}+\frac{B+Dx}{(x^2+1)}+\frac{C+Ex}{(x^3+1)}[/tex]

3)[tex]\frac{A}{(x+1)}+\frac{B+Dx}{(x^2+1)}+\frac{C+Ex+Fx^2}{(x^3+1)}[/tex]

But it gives me nonsense.

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# Homework Help: Integrating by partial fraction.

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