F(x) là một nguyên hàm của hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamyEaiabg2 % da9iaadIhacaWGLbWaaWbaaSqabeaacaWG4bWaaWbaaWqabeaacaaI % Yaaaaaaakiaac6caaaa!3CAF! y = x{e^{{x^2}}}.\) Hàm số nào sau đây không phải là F(x)?

Ta thấy ở đáp án C thì \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbb % a9q8WqFfeaY-biLkVcLq-JHqpepeea0-as0Fb9pgeaYRXxe9vr0-vr % 0-vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaamaabmaabaGaey % OeI0YaaSaaaeaacaaIXaaabaGaaGOmaaaacaWGLbWaaWbaaSqabeaa % caWG4bWaaWbaaWqabeaacaaIYaaaaaaakiabgUcaRiaadoeaaiaawI % cacaGLPaaadaahaaWcbeqaaOGamai4gkdiIcaacqGH9aqpcqGHsisl % caWG4bGaamyzamaaCaaaleqabaGaamiEamaaCaaameqabaGaaGOmaa % aaaaGccqGHGjsUcaWG4bGaamyzamaaCaaaleqabaGaamiEamaaCaaa % meqabaGaaGOmaaaaaaaaaa!4D71! {\left( { - \frac{1}{2}{e^{{x^2}}} + C} \right)^\prime } = - x{e^{{x^2}}} \ne x{e^{{x^2}}}\) nên hàm số ở đáp án C không là một nguyên hàm của hàm \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVCI8FfYJH8YrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbb % a9q8WqFfeaY-biLkVcLq-JHqpepeea0-as0Fb9pgeaYRXxe9vr0-vr % 0-vqpWqaaeaabiGaciaacaqabeaadaqaaqaaaOqaamaabmaabaGaey % OeI0YaaSaaaeaacaaIXaaabaGaaGOmaaaacaWGLbWaaWbaaSqabeaa % caWG4bWaaWbaaWqabeaacaaIYaaaaaaakiabgUcaRiaadoeaaiaawI % cacaGLPaaadaahaaWcbeqaaOGamai4gkdiIcaacqGH9aqpcqGHsisl % caWG4bGaamyzamaaCaaaleqabaGaamiEamaaCaaameqabaGaaGOmaa % aaaaGccqGHGjsUcaWG4bGaamyzamaaCaaaleqabaGaamiEamaaCaaa % meqabaGaaGOmaaaaaaaaaa!4D71! {\left( { - \frac{1}{2}{e^{{x^2}}} + C} \right)^\prime } = - x{e^{{x^2}}} \ne x{e^{{x^2}}}\)