Q369 · Practice questionTechnology-freeSimple familiar3 marks
QUESTION 369 (3 marks)
It is known that and .
a)[1 mark]
Determine .
b)[2 marks]
Determine .
WORKED SOLUTION
3 marksPractice marking scheme
ANSWER
a) . b) .
Worked solution
a) Reversing the limits changes the sign.
b) . Therefore .
Exact answers unless rounding is specified; equivalent forms accepted. Retain unrounded intermediate values.
Reverses the integral limits correctly.
Finds the integral over [3,5].
Uses linearity and integrates the constant over the correct width.
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