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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