A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Evaluate

\displaystyle\int_{-1}^{2}\frac{dx}{x^{2}-2x+2}

. (a)

\arctan 2-\dfrac{\pi}{4}

(b)

2\arctan 2

(c)

\arctan 2+\dfrac{\pi}{4}

(d)

\dfrac{1}{2}\left(\arctan 2+\dfrac{\pi}{4}\right)