What is \int(e^{\log x}+\sin x) \cos x d x equal to? [NDA-I 2020]

Correct Answer is : xsinx+cosx+sin2x2+c

\sin x+x \cos x+{\sin ^{2} x}/{2}+c

\sin x-x \cos x+{\sin ^{2} x}/{2}+c

x \sin x+\cos x+{\sin ^{2} x}/{2}+c

x \sin x-x \cos x+{\sin ^{2} x}/{2}+c

NDA Math Indefinite Integrals

Question : 12 of 38

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What is ∫(elog‌x+sin‌x)‌cos‌x‌d‌x equal to?

[NDA-I 2020]

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