Evaluate: `int1/(x^4+x^6)\ dx`

Explanation

`\int \frac{1}{x^{6}+x^{4}} d x=`


`I=\int \frac{d x}{x^{6}+x^{4}}=\int \frac{d x}{x^{4}(x^{2}+1)}`


`=\frac{1}{x^{4}(x^{2}+1)}=\frac{A}{x}+\frac{B}{x^{2}}+\frac{C}{x^{3}}+\frac{D}{x^{4}}+\frac{E x+F}{x^{2}+1}`


`1=A x^{3}(x^{2}+1)+B x^{2}(x^{2}+1)+C x(x^{2}+1)+D(x^{2}+1)+(E x+F)`


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