- #1
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[tex]
\int \frac{dx}{x(x^4+1)}
[/tex]
[tex]
u=x^2
[/tex]
[tex]
\sqrt{u}=x
[/tex]
[tex]
dx=\frac{1}{2\sqrt{u}}
[/tex]
[tex]
\frac{1}{2}\int \frac{du}{u^2+1}
[/tex]
[tex]
\frac{1}{2}arctanx^2+C
[/tex]
\int \frac{dx}{x(x^4+1)}
[/tex]
[tex]
u=x^2
[/tex]
[tex]
\sqrt{u}=x
[/tex]
[tex]
dx=\frac{1}{2\sqrt{u}}
[/tex]
[tex]
\frac{1}{2}\int \frac{du}{u^2+1}
[/tex]
[tex]
\frac{1}{2}arctanx^2+C
[/tex]