Question: a. Given that f(x) =A/2x + 1 + B/1 2x , find the value of the constants A and B. b. Hence find

a. Given that f(x) =A/2x + 1 + B/1 − 2x , find the value of the constants A and B.

b. Hence find ∫ f(x) dx , writing your answer as a single logarithm.

c. Find ∫12 f(x) dx, giving your answer in the form ln k where k is a rational constant.f(x) = 4 (2.x + 1)(1-2x)' x

f(x) = 4 (2.x + 1)(1-2x)' x

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