Mathematics · 2024
JEE Main · 9 April 2024, Shift 1 · Q8
Let ∫ (2- tan x)/(3+ tan x) d x=1/2(α x+ log_e |β sin x+γ cos x|)+C, where C is the constant of integration. Then α+(γ)/(β) is equal to:
Let $\displaystyle \int \frac{2-\tan x}{3+\tan x} \mathrm{~d} x=\frac{1}{2}\left(\alpha x+\log _{\mathrm{e}}|\beta \sin x+\gamma \cos x|\right)+C$, where $\displaystyle C$ is the constant of integration. Then $\displaystyle \alpha+\frac{\gamma}{\beta}$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 4$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.