If ∫ \frac{cosx+x}{1+sinx} dx = f (x) + \int \frac{3cosx/2-sinx/2}{\cos x/2+ \sin x/2} dx + c , then f (x) =

Correct Answer is : −2x1+tanx2

\frac{-xcosx/2}{\cos x/2 + \sin x/2}

\frac{xcos x/2}{\cos x/2+ \sin x/2}

TS EAMCET 03 May 2019 Shift 1 Solved Paper

Section: Mathematics

Question : 71 of 160

Marks: +1, -0

If ∫

cosx+x

1+sinx

dx = f (x) + ∫

3cos

−sin

cos

+sin

dx + c , then f (x) =

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