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NDA 2016
Exam
NDA
Year
2016
Subject
Mathematics
Chapter
Definite Integration

NDA 2016 · Mathematics · Definite Integration

Let f(x) be a function such that f^ ((1)/(x))+x^3 f^ (x)=0 , What...

Let f(x)f(x) be a function such that f′(1x)+x3f′(x)=0f^{\prime}\left(\frac{1}{x}\right)+x^3 f^{\prime}(x)=0, What is ∫−11f(x)dx\int_{-1}^1 f(x) d x equal to?

Options

  1. A2f(1)2 \mathrm{f}(1)
  2. B00
  3. C2f(−1)2 \mathrm{f}(-1)
  4. D4f(1)4 \mathrm{f}(1)

Correct answer

C. 2f(−1)2 \mathrm{f}(-1)

Step-by-step solution

The correct answer is option (C)
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