\int \sqrt{4 \cos ^2 x-5 \sin ^2 x} \cos x d x=

Correct Answer is : 12sinx√4−9sin2x+23sin−1(3sinx2)+c

\frac{1}{2} \sin x \sqrt{4-9 \sin ^2 x}+\frac{2}{3} \sin ^{-1}(\frac{3 \sin x}{2})+c

\frac{1}{2} \cos x \sqrt{4-9 \cos ^2 x}+\frac{2}{3} \sin ^{-1}(\frac{3 \cos x}{2})+c

\frac{1}{2} \sin x \sqrt{4-9 \sin ^2 x}+\frac{2}{3} \cos ^{-1}(\frac{3 \cos x}{2})+c

\frac{1}{2} \cos x \sqrt{4-9 \sin ^2 x}+\frac{2}{3} \sin ^{-1}(\frac{3 \sin x}{2})+c

TS EAMCET 19-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 75 of 160

Marks: +1, -0

∫√4cos2x−5sin2x‌cos‌x‌d‌x=

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