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GUJCET · Maths · Integrals
\(\int \frac{\tan x}{\cos x(\sec x-1)(\sec x-2)} d x=\) _________ \(+c\)
- A \(\log \left|\frac{\cos x+1}{\cos x-2}\right|\)
- B \(\log \left|\frac{\sec x-2}{\sec x-1}\right|\)
- C \(\log \left|\frac{\operatorname{cosec} x+2}{\operatorname{cosec} x-1}\right|\)
- D \(\log \left|\frac{\sec x+2}{\sec x-1}\right|\)
Answer & Solution
Correct Answer
(B) \(\log \left|\frac{\sec x-2}{\sec x-1}\right|\)
Step-by-step Solution
Detailed explanation
Let \( u = \sec x \). Then \( du = \sec x \tan x \, dx \).
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