Hasil dari integral (x^2+2)(x^3+6x+1)^1/2 dx
Matematika
abay03
Pertanyaan
Hasil dari integral (x^2+2)(x^3+6x+1)^1/2 dx
1 Jawaban
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1. Jawaban Anonyme
int (x²+2)(x³+6x+1)½ dx
misal
u=x³+6x+1
du = 3x²+6 dx = 3(x²+2)dx
du/3 = x²+2 dx
int (x²+2)(x³+6x+1)½ dx
int (x²+2)dx.u½
int u½ du/3
1/3 int u½ du
1/3 x 2/3 u^3/2 + c
2/9 (x³+6x+1)^3/2 + c