Mathematics (AS & A Level) · Oct / Nov 2022 · Paper 22 · Question 6

x y O 4 The diagram shows the curves y = 6 3x + 2 and y = 3e−x −3 for values of x between 0 and 4. The shaded region is bounded by the two curves and the lines x = 0 and x = 4. Find the exact area of the shaded region, giving your answer in the form ln a + b + ced. [9] 9

Read automatically from the paper; the printed page above is exact.