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Indefinite Integrals question

2024 · 6 Apr · Shift 2 · Q48

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JEE Main
Mathematics
Indefinite Integrals
2024 · 6 Apr · Shift 2 · Q48

Indefinite Integrals question

2024 · 6 Apr · Shift 2 · Q48

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

If

\int \frac{1}{\mathrm{a}^2 \sin ^2 x+\mathrm{b}^2 \cos ^2 x} \mathrm{~d} x=\frac{1}{12} \tan ^{-1}(3 \tan x)+

constant, then the maximum value of

\mathrm{a} \sin x+\mathrm{b} \cos x

, is :

A
$\sqrt{41}$
B
$\sqrt{39}$
C
$\sqrt{40}$
D
$\sqrt{42}$

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