A Level

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Evaluate

\displaystyle\int_{0}^{1}\frac{5}{(x+2)(x+3)}\,dx

. (a)

5\ln\left(\dfrac{5}{4}\right)

(b)

\ln\left(\dfrac{9}{8}\right)

(c)

5\ln\left(\dfrac{9}{8}\right)

(d)

5\ln\left(\dfrac{8}{9}\right)