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Evaluate: inte^(3logx)(x^4+1)^(-1)\ dx...

Evaluate: `inte^(3logx)(x^4+1)^(-1)\ dx`

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`e^{3 log x}(x^{4}+1)^{-1}=e^{log x^{3}}(x^{4}+1)^{-1}=frac{x^{3}}{(x^{4}+1)}`
Let `x^{4}+1=t Rightarrow 4 x^{3} d x=d t`
`Rightarrow int e^{3 log x}(x^{4}+1)^{-1} d x =int frac{x^{3}}{(x^{4}+1)} d x `
`=frac{1}{4} int frac{d t}{t} `
`=frac{1}{4} log |t|+C `
`=frac{1}{4} log |x^{4}+1|+C `
...
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