Question

The value of \(\displaystyle \int (\log\sec x)\tan x\,dx\) is

• A. \(\sec x+c\)
• B. \(\log\sec x+c\)
• C. \(\frac{1}{2}(\log\sec x)^2+c\)
• D. \(\log(\log\sec x)\)

Hint:

If an integral contains a function and its derivative, use substitution. Here, derivative of \(\log\sec x\) is \(\tan x\).

Answer 1

The Correct Option is C