Sophomore's dream is the pair of identities $$ \int_0^1 x^{-x}\,dx=\sum_{n=1}^\infty n^{-n}\\[20pt] \int_0^1x^x\,dx=\sum_{n=1}^\infty (-1)^{n+1}n^{-n} $$ Are these numbers transcendental?
2026-03-25 20:19:12.1774469952
Is Sophomore's Dream Transcendental?
461 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in INTEGRATION
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