Question Detail

MTH 102 MTH 102 Past Questions Objective Question
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Question

Evaluate ∫ Cos(lnx)/x dx
Options
A sec(lnx) + C
B tan(lnx) + C
C cot(lnx) + C
D sin(lnx) + C
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

Let u = ln(x). Then, du = (1/x)dx. Substituting these into the integral, we get ∫cos(u)du. The integral of cos(u) is sin(u) + C. Substituting u back, we get sin(ln(x)) + C.

Hint

Consider a substitution for the argument of the cosine function.

Question Info

Course: MTH 102
Topic: MTH 102 Past Questions
Type: Objective
Difficulty: Not specified
Question 547 of 930
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