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OJEE Wallis — practice questions

Explore 1 free Wallis questions in OJEE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Wallis questions and exercises with answers

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If $\displaystyle I_n = \int_0^{\pi/2} \sin^n x\, dx$, then $I_5 = ?$Read the answer and worked solution →

Worked practice questions

If $\displaystyle I_n = \int_0^{\pi/2} \sin^n x\, dx$, then $I_5 = ?$

  1. $8/15$
  2. $2/3$
  3. $3\pi/16$
  4. $1$
Show answer and solution

Correct answer: A. $8/15$

**Reduction (Wallis):** $I_n = \tfrac{n-1}{n} I_{n-2}$. $I_1 = 1$, $I_3 = (2/3)(1) = 2/3$, $I_5 = (4/5)(2/3) = 8/15$.

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