# I'm Back And Better At Calculus!

Calculus Level 5

$\large I = \int_{0}^{\infty}\dfrac{x \ln{(4x)}}{\frac{1}{4}x^{4}+x^{2}+1} \,dx$

$$I$$ is the value of the closed form of the above integral. What is the value of $$\lfloor 100I \rfloor$$?

You may use the fact that $$\ln(2) \approx 0.693147$$.

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