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NDA 2011
Exam
NDA
Year
2011
Subject
Mathematics
Chapter
Definite Integration

NDA 2011 · Mathematics · Definite Integration

If f(x) is an even function, then what is ∫_0^π f( x) d x equal to?

If f(x)f(x) is an even function, then what is ∫0πf(cos⁡x)dx\int_0^\pi f(\cos x) d x equal to?

Options

  1. A0
  2. B∫0π2f(cos⁡x)dx\int_0^{\frac{\pi}{2}} f(\cos x) d x
  3. C2∫0π2f(cos⁡x)dx2 \int_0^{\frac{\pi}{2}} f(\cos x) d x
  4. D1

Correct answer

C. 2∫0π2f(cos⁡x)dx2 \int_0^{\frac{\pi}{2}} f(\cos x) d x

Step-by-step solution

The correct answer is option (C).
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