Question Detail

MTH 102 MTH 102 Past Questions Objective Question
Take CBT

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 formula that can be derived by multiplying the integrand by (sec(x) + tan(x))/(sec(x) + tan(x)) and then performing a u-substitution.The integral of sec(x) dx is ln(|sec(x) + tan(x)|) + C.

Hint

This is a memorized integral formula. If you need to derive it, try multiplying the integrand by a special form of 1: (sec(x) + tan(x))/(sec(x) + tan(x)).

Question Info

Course: MTH 102
Topic: MTH 102 Past Questions
Type: Objective
Difficulty: Not specified
Question 466 of 930
Previous Course Details Next