alleryStart learning →Factorising the quadratic x^2 - 5x + 6, what is the primitive of its reciprocal?
Alog|(x - 3)/(x - 2)| + c
B-1/(2x - 5)^2 + c
Clog|x^2 - 5x + 6| + c
Dlog|(x - 2)/(x - 3)| + c
Answer & Solution
Correct answer: A. log|(x - 3)/(x - 2)| + c
Factor as (x-2)(x-3); partial fractions give 1/(x-3) - 1/(x-2), integrating to log|(x-3)/(x-2)|.
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