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LFM Stats And Pure
Partial Fractions
Q3
OCR C4 2006 June — Question 3
Exam Board
OCR
Module
C4 (Core Mathematics 4)
Year
2006
Session
June
Topic
Partial Fractions
Type
Partial fractions with linear factors only
3
Express \(\frac { 3 - 2 x } { x ( 3 - x ) }\) in partial fractions.
Show that \(\int _ { 1 } ^ { 2 } \frac { 3 - 2 x } { x ( 3 - x ) } \mathrm { d } x = 0\).
What does the result of part (ii) indicate about the graph of \(y = \frac { 3 - 2 x } { x ( 3 - x ) }\) between \(x = 1\) and \(x = 2\) ?
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