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Integrate the functionse^(3logx)(x^4+1)^...

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

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To solve the integral \( \int \frac{e^{3 \log x}}{(x^4 + 1)} \, dx \), we will follow these steps: ### Step 1: Simplify \( e^{3 \log x} \) Using the property of logarithms and exponentials, we know that: \[ e^{\log a} = a \quad \text{and} \quad e^{m \log a} = a^m. \] Thus, we can rewrite \( e^{3 \log x} \) as: ...
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