This problem (Wallis Integrals) is a fantastic revision tool because it hits so many syllabus dot points at once:
- Complex Integration & Substitutions
- Lots of IBP, but not heavy lifting
- Inequalities & The Squeeze Theorem
- Reading the room (following "Do NOT prove" instructions)
- Deriving the Normal Distribution constant (Gaussian Integral)
This is unlikely to be a Q16 "Final Boss" anymore. The Wallis integrals are too famous. It’s now a standard that every top student needs to have in their toolkit.
The point is not just to be able to solve the problem, but aim for full marks.
- Complex Integration & Substitutions
- Lots of IBP, but not heavy lifting
- Inequalities & The Squeeze Theorem
- Reading the room (following "Do NOT prove" instructions)
- Deriving the Normal Distribution constant (Gaussian Integral)
This is unlikely to be a Q16 "Final Boss" anymore. The Wallis integrals are too famous. It’s now a standard that every top student needs to have in their toolkit.
The point is not just to be able to solve the problem, but aim for full marks.
