\int \frac{ \sin 2 x}{ \sin ^2 x+3 \cos x-3} \dx [AP EAPCET 21 May 2025 S1]

Correct Answer is : log((cosx−2)4(cosx−1)2)+c

2 \log {| \frac{\cos x-2}{\cos x-1} |}+c

\log (\frac{(\cos x-2)^2}{(\cos x-1)^4}) +c

\log (\frac{(\cos x-2)^2}{|\cos x-1|}) +c

\log (\frac{(\cos x-2)^4}{(\cos x-1)^2}) +c

Indefinite Integration

Section: Mathematics

Question : 36 of 89

Marks: +1, -0

∫‌

sin‌2x

sin‌2x+3‌cos‌x−3

‌dx

[AP EAPCET 21 May 2025 S1]

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