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Indefinite Integrals question

2018 · 16 Apr · Shift 1 · Q27

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2018 · 16 Apr · Shift 1 · Q27

Indefinite Integrals question

2018 · 16 Apr · Shift 1 · Q27

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If

\int {{{\tan x} \over {1 + \tan x + {{\tan }^2}x}}dx = x - {K \over {\sqrt A }}{{\tan }^{ - 1}}} \left( {{{K\,\tan x + 1} \over {\sqrt A }}} \right) + C,(C\,\,

is a constant of integration) then the ordered pair (K, A) is equal to :

A
(2, 1)
B
( $-$ 2, 3)
C
(2, 3)
D
( $-$ 2, 1)

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