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Aug 22, 2022 at 7:12 comment added Daniel Huber O course, I only pointed at the fact that it evaluates with default precision. Question is if this is good enough for you or not. In any case higher working precision means higher precision of the result.
Aug 22, 2022 at 6:17 comment added Akku14 @DanielHuber, Reduction of workingPrecision to default value seems to less. Difference to With[{a = 1 - 1/100000}, NExpectation[Log[1 - 2 a x^2 + a^2 x^4]^2, x \[Distributed] NormalDistribution[], WorkingPrecision -> 30, AccuracyGoal -> 5, Method -> {"NIntegrate", {MinRecursion -> 12, MaxRecursion -> 30}}]] can not realy be neglected. Yields 4.59996306650049691893344677743
Aug 21, 2022 at 16:11 vote accept Yaroslav Bulatov
Aug 21, 2022 at 9:02 comment added Yaroslav Bulatov thanks for the tip...indeed the jagginess seem to be numeric artifacts
Aug 21, 2022 at 8:27 history answered Daniel Huber CC BY-SA 4.0