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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Indefinite Integration

NDA 2012 · Mathematics · Indefinite Integration

What is ∫ ( x)/(x) d x equal to?

What is ∫ln⁡xxdx\int \frac{\ln x}{x} d x equal to?

Options

  1. A(ln⁡x)22+c\frac{(\ln x)^2}{2}+c
  2. B(ln⁡x)2+c\frac{(\ln x)}{2}+c
  3. C(ln⁡x)2+c(\ln x)^2+c
  4. DNone of the above where cc is the constant of integration.

Correct answer

A. (ln⁡x)22+c\frac{(\ln x)^2}{2}+c

Step-by-step solution

The correct answer is option A.
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