Question

Let α ∈ (0, π/2) be fixed. If the integral ∫ (tan x + tanα)/(tan x - tanα) dx =
A(x) cos2α + B(x) sin2α + C, where C is a constant of integration, then the functions A(x) and B(x) are respectively:
(A) x + α and logₑ |sin(x - α)|
(B) x - α and logₑ |cos(x - α)| (C) x - α and logₑ |sin(x - α)| (D) x + α and logₑ |sin(x + α)|

Answer 1

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Option B)

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Answer 2

Answer:

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