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Year 12 Specialist (Unit 3 & 4) Integration techniques

Partial fractions

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Question 1
196579
Which is the correct partial-fraction form of \(\dfrac{3}{(x-1)(x+4)}\) (before the constants are found)?
A.
\(\dfrac{A}{x-1}+\dfrac{B}{x+4}\)
B.
\(\dfrac{A}{x+1}+\dfrac{B}{x-4}\)
C.
\(\dfrac{Ax+B}{(x-1)(x+4)}\)
D.
\(\dfrac{A}{x-1}+\dfrac{Bx}{x+4}\)
\(\dfrac{A}{x-1}+\dfrac{B}{x+4}\)

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