1a4 marks
(a)
Show that
where is an arbitrary constant and and are constants to be found.
1b3 marks
(b)
Hence show that the mean value of over the interval [0, 3] is
1c2 marks
(c)
Use the answer to part (b) to find the mean value, over the interval [0, 3], of
where is a positive constant, giving your answer in the form where and are constants and is in terms of .
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