allery$\displaystyle\int_0^1 \dfrac{1}{1 + x^2}\, dx = ?$
A$\pi/2$
B$\pi/4$
C$\pi$
D$1$
Answer & Solution
Correct answer: B. $\pi/4$
$[\arctan x]_0^1 = \arctan 1 - \arctan 0 = \pi/4$.
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