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Let alpha in (0, pi/2) be fixed. If the ...

Let `alpha in (0, pi/2)` be fixed. If the integral `int(tan x + tan alpha)/(tan x - tan alpha)dx = A(x)cos 2 alpha+B(x) sin 2 alpha +C`,where C is a constant of integration, then the functions A(x) and B(x) are respectively.

A

` x - alpha and log _e | sin (x - alpha )| `

B

` x + alpha and log _e | sin (x + alpha ) | `

C

` x - alpha and log _e | sin (x - alpha )| `

D

` x + alpha and log _ e | sin (x - alpha ) | `

Text Solution

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The correct Answer is:
A
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