Question Detail

MTH 102 MTH 102 Past Questions Objective Question

Question

Obtain the integral ∫ sec x dx.
Options
A sec x tan x
B ln(|sec x + tan x|)
Correct Answer
C tan² x
D -cot² x
Correct Answer

Option B is the correct answer.

Detailed Explanation

This is a standard integral in calculus. The integral of sec x dx is ln|sec x + tan x| + C.

Hint

This is a fundamental integral result that is often memorized. If you don't recall it, try multiplying the integrand by (sec x + tan x) / (sec x + tan x) and use substitution.

Question Info