A Level

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

Problem

Evaluate

\displaystyle \int \frac{dx}{(x+3)^{2}+25}

. (a)

\dfrac{1}{10}\ln\Bigl|\dfrac{x+3-5}{x+3+5}\Bigr|+C

(b)

\tan^{-1}\dfrac{x+3}{5}+C

(c)

\dfrac{1}{5}\tan^{-1}\dfrac{x+3}{5}+C

(d)

\dfrac{1}{5}\cot^{-1}\dfrac{x+3}{5}+C