A Level

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

Problem

Compute

\displaystyle\int_{0}^{2}\frac{2}{1+(3-2x)^{2}}\,dx

. (a)

\arctan 3

(b)

2\arctan 3

(c)

\arctan 3 + \dfrac{\pi}{4}

(d)

\arctan 3 - \dfrac{\pi}{4}