Tìm nguyên hàm của hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqi-C0dh9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzaiaacI % cacaWG4bGaaiykaiabg2da9maabmaabaGaaG4maiaadIhacqGHsisl % caaIXaaacaGLOaGaayzkaaWaaWbaaSqabeaacaaI1aaaaaaa!3F86! f(x) = {\left( {3x - 1} \right)^5}\)
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Lời giải:
Báo sai\(% MathType!MTEF!2!1!+- % feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqi-C0dh9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa8qaaeaada % qadaqaaiaaiodacaWG4bGaeyOeI0IaaGymaaGaayjkaiaawMcaamaa % CaaaleqabaGaaGynaaaakiaabsgacaWG4baaleqabeqdcqGHRiI8aO % Gaeyypa0ZaaSaaaeaacaaIXaaabaGaaG4maaaadaWdbaqaamaabmaa % baGaaG4maiaadIhacqGHsislcaaIXaaacaGLOaGaayzkaaWaaWbaaS % qabeaacaaI1aaaaOGaaeizamaabmaabaGaaG4maiaadIhacqGHsisl % caaIXaaacaGLOaGaayzkaaaaleqabeqdcqGHRiI8aOGaeyypa0ZaaS % aaaeaacaaIXaaabaGaaGymaiaaiIdaaaWaaeWaaeaacaaIZaGaamiE % aiabgkHiTiaaigdaaiaawIcacaGLPaaadaahaaWcbeqaaiaaiAdaaa % GccqGHRaWkcaWGdbaaaa!5A52! \int {{{\left( {3x - 1} \right)}^5}{\rm{d}}x} = \frac{1}{3}\int {{{\left( {3x - 1} \right)}^5}{\rm{d}}\left( {3x - 1} \right)} = \frac{1}{{18}}{\left( {3x - 1} \right)^6} + C\)