hasil integral [tex] {6x}^{2} \sqrt{5 - {x}^{3} } [/tex] dx
Matematika
ayen19
Pertanyaan
hasil integral
[tex] {6x}^{2} \sqrt{5 - {x}^{3} } [/tex]
dx
[tex] {6x}^{2} \sqrt{5 - {x}^{3} } [/tex]
dx
1 Jawaban
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1. Jawaban Cadilac
∫ 6x²√5-x³ dx
Substitusi
mis=
u=5-x³
du=-3x² dx
agar sama dgn 6x² maka dikali -2
-2du= 6x² dx
∫ -2√u du
-2 ∫ u^1/2 du
-2 (1/½ u^½+1) +C
-2 (2 u√u) +C
-4 (5-x³√5-x³) +C