Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

Evaluate the integral ∫ln(x) dx
Options
A xlnx+x+c
B lnx+x+c
C -xlnx-x+c
D xlnx-x+c
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

By parts with u=lnx, dv=dx: ∫lnx dx = xlnx - ∫x·(1/x)dx = xlnx - x + c.

Hint

Integrate by parts with u=ln x and dv=dx.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 894 of 930
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