\int \frac{d x}{12 \cos x+5 \sin x}= [AP EAPCET 22 May 2025 S2]

Correct Answer is : 113log|tan(π4+x2−12Tan−1512)|+c

\frac{1}{13} \log {| \tan (\frac{\pi}{4}+\frac{ {\x}}{2}-\frac{1}{2} {\Tan}^{-1} \frac{5}{12}) |}+ {\c}

\frac{5}{12} \log {| \tan (\frac{\pi}{4}+\frac{ {\x}}{2}-\frac{1}{2} {\Tan}^{-1} \frac{5}{12}) |}+ {\c}

\frac{1}{13} \log {| \tan (\frac{\pi}{4}+\frac{ {\x}}{2}+\frac{1}{2} {\Tan}^{-1} \frac{5}{12}) |}+ {\c}

\frac{5}{12} \log {| \tan (\frac{\pi}{4}+\frac{ {\x}}{2}+\frac{1}{2} {\Tan}^{-1} \frac{5}{12}) |}+ {\c}

Indefinite Integration

Section: Mathematics

Question : 24 of 89

Marks: +1, -0

∫‌

12‌cos‌x+5sin‌x

[AP EAPCET 22 May 2025 S2]

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