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Indefinite Integrals question

2024 · 9 Apr · Shift 1 · Q41

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2024 · 9 Apr · Shift 1 · Q41

Indefinite Integrals question

2024 · 9 Apr · Shift 1 · Q41

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

Let

\int \frac{2-\tan x}{3+\tan x} \mathrm{~d} x=\frac{1}{2}\left(\alpha x+\log _e|\beta \sin x+\gamma \cos x|\right)+C

, where

C

is the constant of integration. Then

\alpha+\frac{\gamma}{\beta}

is equal to :

A
3
B
7
C
1
D
4

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