Question Detail

MTH 102 MTH 102 Past Questions Objective Question
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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 application of a standard integral formula.The derivative of sec(x) is sec(x) tan(x). Therefore, the integral of sec(x) tan(x) is sec(x) plus the constant of integration C.

Hint

Recall the derivatives of basic trigonometric functions, especially the derivative of sec(x).

Question Info

Course: MTH 102
Topic: MTH 102 Past Questions
Type: Objective
Difficulty: Not specified
Question 456 of 930
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