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Indefinite Integrals question

2019 · 12 Apr · Shift 2 · Q26

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JEE Main
Mathematics
Indefinite Integrals
2019 · 12 Apr · Shift 2 · Q26

Indefinite Integrals question

2019 · 12 Apr · Shift 2 · Q26

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

Let

a \in \left( {0,{\pi \over 2}} \right)

be fixed. If the integral

\int {{{\tan x + \tan \alpha } \over {\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 ${\log _e}\left| {\cos \left( {x - \alpha } \right)} \right|$
B
$x + \alpha$ and ${\log _e}\left| {\sin \left( {x - \alpha } \right)} \right|$
C
$x + \alpha$ and ${\log _e}\left| {\sin \left( {x + \alpha } \right)} \right|$
D
$x - \alpha$ and ${\log _e}\left| {\sin \left( {x - \alpha } \right)} \right|$

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