If \int \frac{\cos \theta}{5+7 \sin \theta-2 \cos ^2 \theta} d \theta=A \log _e {|f(\theta)|}+c (where c is a constant of integration), then \frac{f(\theta)}{A} can be

Correct Answer is : 5(2sinθ+1)sinθ+3

\frac{2 \sin \theta+1}{ \sin \theta+3}

\frac{2 \sin \theta+1}{5( \sin \theta+3)}

\frac{5( \sin \theta+3)}{2 \sin \theta+1}

\frac{5(2 \sin \theta+1)}{ \sin \theta+3}

MHTCET 14 May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 72 of 150

Marks: +1, -0

If ∫‌

cos‌θ

5+7‌sin‌θ−2cos2θ

dθ=Aloge|f(θ)|+c (where c is a constant of integration), then ‌

f(θ)

can be

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