If \int \frac{1}{a^2 \sin ^2 x+b^2 \cos ^2 x} \dx=\frac{1}{12} \tan ^{-1}(3 \tan x)+ constant, then the maximum value of a sin {\x}+ {\b} \cos {\x}, is : [6 Apr 2024 Shift 2]

Indefinite Integrals

Section: Mathematics

Question : 18 of 89

Marks: +1, -0

If ∫‌

a2sin‌2x+b2cos2x

‌dx=‌

tan−1(3‌tan‌x)+ constant, then the maximum value of a sin x+b‌cos‌x, is :

[6 Apr 2024 Shift 2]

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