 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-2/11g/iii/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

False. Take

f (s, t) = s

. Then

s^{2 n} t^{2 m} f (s, t)

is odd in

s

, so every stated integral over

[- 1, 1]^{2}

vanishes, although

f

is not zero.

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