Tìm nguyên hàm của hàm số \(% MathType!MTEF!2!1!+- % feaahqart1ev3aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamOzamaabm % aabaGaamiEaaGaayjkaiaawMcaaiabg2da9iaaikdadaahaaWcbeqa % aiaaikdacaWG4baaaaaa!3D0C! f\left( x \right) = {2^{2x}}\)
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Lời giải:
Báo sai\(% MathType!MTEF!2!1!+- % feaahqart1ev3aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaa8qaaeaaca % aIYaWaaWbaaSqabeaacaaIYaGaamiEaaaakiaabsgacaWG4baaleqa % beqdcqGHRiI8aOGaeyypa0ZaaSaaaeaacaaIYaWaaWbaaSqabeaaca % aIYaGaamiEaaaaaOqaaiaaikdaciGGSbGaaiOBaiaaikdaaaGaey4k % aSIaam4qaiabg2da9maalaaabaGaaGOmamaaCaaaleqabaGaaGOmai % aadIhacqGHsislcaaIXaaaaaGcbaGaciiBaiaac6gacaaIYaaaaiab % gUcaRiaadoeaaaa!4F05! \int {{2^{2x}}{\rm{d}}x} = \frac{{{2^{2x}}}}{{2\ln 2}} + C = \frac{{{2^{2x - 1}}}}{{\ln 2}} + C\)