Find the value of $p$ and of $q$.

Hence, find the area of the region enclosed by the graphs of $f$ and $g$.

valid attempt to find the intersection     (M1)

eg$\,\,\,\,\,$$f = g$, sketch, one correct answer

$p = 0.357402,{\text{ }}q = 2.15329$

$p = 0.357,{\text{ }}q = 2.15$     A1A1     N3

[3 marks]

attempt to set up an integral involving subtraction (in any order)     (M1)

eg$\,\,\,\,\,$$\int_p^q {\left[ {f(x) - g(x)} \right]{\text{d}}x,{\text{ }}} \int_p^q {f(x){\text{d}}x - } \int_p^q {g(x){\text{d}}x}$

0.537667

${\text{area}} = 0.538$     A2     N3

[3 marks]