JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The indefinite integral of

(12 \sin x+5 \cos x)^{-1}

is, for any arbitrary constant

View answer and explanation

Correct option: A

1 / 13 \log \left|\tan \left(\frac{\mathrm{x}}{2}+\frac{1}{2} \tan ^{-1} \frac{5}{12}\right)\right|+\mathrm{c}

Option A (

1 / 13 \log \left|\tan \left(\frac{\mathrm{x}}{2}+\frac{1}{2} \tan ^{-1} \frac{5}{12}\right)\right|+\mathrm{c}

) is correct because after applying trigonometric identities and integrating, the result matches this option.

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