Question Detail

MTH 102 MTH 102 Past Questions Objective Question

Question

Integrate ∫ sec x tan x dx.
Options
A sec² x / 2
B sec x
Correct Answer
C ln sec² x - tan x
D tan² x / 2
Correct Answer

Option B is the correct answer.

Detailed Explanation

This is a direct standard integral. The derivative of sec x is sec x tan x.Therefore, the integral of sec x tan x dx is sec x + C.

Hint

Recall the derivatives of basic trigonometric functions, especially for sec x and tan x.

Question Info