\int\frac{\cos x-\sin x}{5+\sin(2x)} dx=

Correct Answer is : 12Tan−1[12(sinx+cosx)]+c

{1/2}\Cot^{-1}[{1/2}(\sinx+\cosx)]+c

{1/2}\Tan^{-1}[{1/2}(\sinx+\cosx)]+c

{1/2}\Sin^{-1}[{1/2}(\sinx+\cosx)]+c

{1/2}\Cos^{-1}[{1/2}(\sinx+\cosx)]+c

AP EAMCET Engineering 22 Sep 2020 Shift 1 Paper

Section: Mathematics

Question : 68 of 160

Marks: +1, -0

∫

cos‌x−sin‌x

5+sin(2x)

dx=

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