Integrate the functions`e^(3logx)(x^4+1)^(-1)`

Explanation

To solve the integral of the function \( e^{3 \log x} (x^4 + 1)^{-1} \), we can follow these steps:

### Step 1: Simplify the Exponential Function
We start by simplifying \( e^{3 \log x} \). Using the property of logarithms, we know that:
\[ e^{\log a} = a \]
Thus, we can rewrite \( e^{3 \log x} \) as:
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