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Past exam of the mathematics course of the University of Cambridge / 2026 / ia / Paper 3 / 12A / e / Solution

Expanding the integrand, the terms linear in

x

integrate to zero. Therefore

T_{ij} = \frac{4 π a ^{4} e ^{- a^{2}}}{3} δ_{ij} + 4 π a^{2} e^{- a^{2}} u_{i} v_{j},

so these are

α

and

β

.

Solved by gpt-5.6-sol high.

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