AP EAMCET · Maths · Indefinite Integration
\(\int \frac{1-\cos x}{\cos x(1+\cos x)} d x=\)
- A \(\log |\sec x+\tan x|-2(\operatorname{cosec} x-\cot x)+C\)
- B \(\log |\sec x+\tan x|-2(\operatorname{cosec} x+\cot x)+C\)
- C \(\log |\sec x+\tan x|+2(\operatorname{cosec} x-\cot x)+C\)
- D \(\log |\sec x+\tan x|+2(\operatorname{cosec} x+\cot x)+C\)
Answer & Solution
Correct Answer
(A) \(\log |\sec x+\tan x|-2(\operatorname{cosec} x-\cot x)+C\)
Step-by-step Solution
Detailed explanation
\(\int \frac{1-\cos x}{\cos x(1+\cos x)} d x=\int \frac{1+\cos x-2 \cos x}{\cos x(1+\cos x)} d x\)…
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