\int \frac{ (1-4 \sin ^2 x) \cos x}{\cos (3 x+2)} \dx= [TG EAPCET 9 May 2024 Shift 1]

Correct Answer is : (cos2)x+13(sin2)log|sec(3x+2)|+c

(\cos 2) x-\frac{1}{3}( \sin 2) \log{ |\sec (3 x+2)|}+ {\c}

( \sin 2) x-\frac{1}{3}(\cos 2) \log{ |\cos (3 x+2)|}+ {\c}

( \sin 2) x+\frac{1}{3}(\cos 2) \log {|\cos (3 x+2)|}+ {\c}

(\cos 2) x+\frac{1}{3}( \sin 2) \log {|\sec (3 x+2)|}+ {\c}

Indefinite Integration

Section: Mathematics

Question : 20 of 22

Marks: +1, -0

∫‌

(1−4sin‌2x)‌cos‌x

cos(3x+2)

‌dx=

[TG EAPCET 9 May 2024 Shift 1]

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