If \int \log (6 \sin ^2 x+17 \sin x+12) ^{\cos x} \dx=f(x)+c then, f (\frac{\pi}{2}) = [AP EAPCET 22 May 2024 Shift 2]

Correct Answer is : 16[log55+log77−12]

\frac{1}{6} [\log 5^5+\log 7^7-12]

\frac{1}{6}[7 \log 5+5 \log 7+29]

\frac{1}{6}[14 \log 5+15 \log 7+12]

\frac{1}{6}[15 \log 5+14 \log 7-29]

Indefinite Integration

Section: Mathematics

Question : 45 of 89

Marks: +1, -0

If ∫log(6sin‌2x+17sin‌x+12)cos‌x‌dx=f(x)+c then, f(‌

[AP EAPCET 22 May 2024 Shift 2]

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