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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Definite Integration

NDA 2014 · Mathematics · Definite Integration

Consider the integral I=∫_0^π ( x) d x What is ∫_0^ π / 2 ( x) d x...

Consider the integral I=∫0πln⁡(sin⁡x)dx\mathrm{I}=\int_0^\pi \ln (\sin x) d x What is ∫0π/2ln⁡(cos⁡x)dx\int_0^{\pi / 2} \ln (\cos x) d x equal to?

Options

  1. A\frac{\mathrm{I}}{2}
  2. BI
  3. C2 I
  4. D4 I

Correct answer

A. \frac{\mathrm{I}}{2}

Step-by-step solution

The correct answer is option (A)
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