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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)=6x23x. The graph of f is shown in the following diagram.

Find (6x23x)dx.

[2]
a.

Find the area of the region enclosed by the graph of f, the x-axis and the lines x = 1 and x = 2 .

[4]
b.

Markscheme

2x33x22+c(accept6x333x22+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]

a.

substitution of limits or function (A1)

eg  21f(x)dx,[2x33x22]21

substituting limits into their integrated function and subtracting     (M1)

eg  6×2333×222(6×133+3×122)

Note: Award M0 if substituted into original function.

correct working      (A1)

eg  6×833×426×13+3×12,(166)(232)

192     A1 N3

[4 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 6 - Calculus » 6.4 » Indefinite integration as anti-differentiation.

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