$\displaystyle\int_0^1 \dfrac{1}{1 + x^2}\, dx = ?$
- $\pi/2$
- $\pi/4$
- $\pi$
- $1$
Show answer and solution
Correct answer: B. $\pi/4$
$[\arctan x]_0^1 = \arctan 1 - \arctan 0 = \pi/4$.
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Correct answer: B. $\pi/4$