Selesaikan dengan integral subtitusi:
∫ x^2 (x^3 + 2)^9 dx
Pakai cara!
∫ x^2 (x^3 + 2)^9 dx
Pakai cara!
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Verified answer
Misalu = x^3 + 2
du/dx = 3x^2 => dx = du/(3x^2)
∫ x^2 (x^3 + 2)^9 dx
= ∫ x^2 u^9 du/(3x^2)
= ∫ 1/3 u^9 du
= 1/3 . 1/10 u^10 + C
= 1/30 (x^3 + 2)^10 + C