ka bantu dong integral x^2 (x - 4) / √x dx tolong ya ka
Matematika
shazniyad
Pertanyaan
ka bantu dong
integral x^2 (x - 4) / √x dx
tolong ya ka
integral x^2 (x - 4) / √x dx
tolong ya ka
1 Jawaban
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1. Jawaban SadonoSukirno
dijabarin dulu, akar itu pangkat ½
(x²(x - 4)/√x) dx
= {(x³ - 4x²)/x^½} dx
= {x^(3-½) - 4x^(2-½)} dx
= {x^(5/2) - 4x^(3/2)} dx
integral kan
= (1/(1+5/2))x^(1+5/2) - (4/(1+3/2))x^(1+3/2) + C
= (1/(7/2))x^(7/2) - (4/(5/2))x^(5/2) + C
= (2/7)x³√x - (8/5)x²√x + C