\int{\cos x}/{\sin ^{2} x .(\sin x+\cos x)} d x is equal to

Correct Answer is : log|1+tanxtanx|−cotx+C

\log | \frac{1+\tan x}{\tan x} |-\cot x+C

\log | \frac{1+\tan x}{\tan x} | +C

\log | \frac{1+\tan x}{\tan x} |-\tan x+C

\log | \frac{1+\tan x}{\tan x} |+\cot x+C

Manipal Entrance Test 2014 Math Paper

Question : 44 of 80

Marks: +1, -0

∫

cos‌x

sin2x.(sin‌x+cos‌x)

dx is equal to

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