## Challenge for the Weak 2 - P6

#### Contributed by: cauchy

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#### Difficulty: 10

#### This problem is tagged with cw, cw2.

Evaluate the following limit:
$$
I = \lim_{\alpha \to \infty} \int_0^{\alpha} \frac{2x + 1}{x^4 + 2x^3 + 3x^2 + 2x + 2} \, dx
$$
A. $I = \arctan 2$

B. $I = \arctan 3$

C. $I = \frac{\pi}{2}$

D. $I = \arctan \frac{1}{3}$

E. $I = \frac{\pi}{3}$

F. $I = \frac{\pi}{4}$

Your answer should be a single capitalized letter, e.g., 'A'.

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