Tìm nguyên hàm của hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaabm % aabaGaamiEaaGaayjkaiaawMcaaiabg2da9maalaaabaGaaGymaaqa % aiaadIhadaGcaaqaaiaadIhaaSqabaaaaaaa!3D4B! f\left( x \right) = \frac{1}{{x\sqrt x }}\)
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Lời giải:
Báo sai\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa8qaaeaada % WcaaqaaiaaigdaaeaacaWG4bWaaOaaaeaacaWG4baaleqaaaaaaeqa % beqdcqGHRiI8aOGaamizaiaadIhacqGH9aqpdaWdbaqaaiaadIhada % ahaaWcbeqaaiabgkHiTmaalaaabaGaaG4maaqaaiaaikdaaaaaaOGa % amizaiaadIhacqGH9aqpcqGHsislcaaIYaGaamiEamaaCaaaleqaba % GaeyOeI0YaaSaaaeaacaaIXaaabaGaaGOmaaaaaaGccqGHRaWkcaWG % dbGaeyypa0ZaaSaaaeaacqGHsislcaaIYaaabaWaaOaaaeaacaWG4b % aaleqaaaaakiabgUcaRiaadoeaaSqabeqaniabgUIiYdaaaa!52D1! \int {\frac{1}{{x\sqrt x }}} dx = \int {{x^{ - \frac{3}{2}}}dx = - 2{x^{ - \frac{1}{2}}} + C = \frac{{ - 2}}{{\sqrt x }} + C} \)