SPS SPS SM Pure 2023 September — Question 1 2 marks

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2023
SessionSeptember
Marks2
TopicIndefinite & Definite Integrals

1. The graph of \(y = \mathrm { f } ( x )\) is shown below for \(0 \leq x \leq 6\)
\includegraphics[max width=\textwidth, alt={}, center]{a1b449df-1096-4b3a-8306-fca410a7e530-04_499_551_331_877}
  1. Evaluate \(\int _ { 0 } ^ { 6 } \mathrm { f } ( x ) \mathrm { d } x\)
    [0pt] [2 marks]
  2. Deduce values for each of the following, giving reasons for your answers.
    1. \(\int _ { 1 } ^ { 7 } \mathrm { f } ( x - 1 ) \mathrm { d } x\)
  3. (ii) \(\int _ { 0 } ^ { 6 } ( \mathrm { f } ( x ) - 1 ) \mathrm { d } x\)