Date | May 2018 | Marks available | 2 | Reference code | 18M.1.sl.TZ2.2 |
Level | SL only | Paper | 1 | Time zone | TZ2 |
Command term | Find | Question number | 2 | Adapted from | N/A |
Question
Let f(x)=6x2−3x. The graph of f is shown in the following diagram.
Find ∫(6x2−3x)dx.
Find the area of the region enclosed by the graph of f, the x-axis and the lines x = 1 and x = 2 .
Markscheme
2x3−3x22+c(accept6x33−3x22+c) A1A1 N2
Notes: Award A1A0 for both correct terms if +c is omitted.
Award A1A0 for one correct term eg 2x3+c.
Award A1A0 if both terms are correct, but candidate attempts further working to solve for c.
[2 marks]
substitution of limits or function (A1)
eg ∫21f(x)dx,[2x3−3x22]21
substituting limits into their integrated function and subtracting (M1)
eg 6×233−3×222−(6×133+3×122)
Note: Award M0 if substituted into original function.
correct working (A1)
eg 6×83−3×42−6×13+3×12,(16−6)−(2−32)
192 A1 N3
[4 marks]