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NDA 2011
Exam
NDA
Year
2011
Subject
Mathematics
Chapter
Definite Integration

NDA 2011 · Mathematics · Definite Integration

If I_n=∫_0^ (π)/(4) ^n x d x then what is I_n+I_ n-2 equal to?

If In=∫0π4tan⁡nxdxI_n=\int_0^{\frac{\pi}{4}} \tan ^n x d x then what is In+In−2I_n+I_{n-2} equal to?

Options

  1. A1/n1 / n
  2. B1/(n−1)1 /(n-1)
  3. Cn/(n−1)n /(n-1)
  4. D1/(n−2)1 /(n-2)

Correct answer

B. 1/(n−1)1 /(n-1)

Step-by-step solution

The correct answer is option (B).
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