Question Detail

MTH 102 MTH 102 Past Questions Objective Question
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Question

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

Option D is the correct answer.

Detailed Explanation

We can solve this integral using a substitution. Let u = lnx. Then, the differential du = (1/x) dx.Substitute these into the integral: ∫ Cos(u) duThe integral of Cos(u) with respect to u is Sin(u) + C.Now, substitute back u = lnx:Sin(lnx) + 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 685 of 930
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