integral (x√x +x²)dx
Matematika
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Pertanyaan
integral (x√x +x²)dx
1 Jawaban
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1. Jawaban Anonyme
Bab Integral
Matematika SMA Kelas XI
x √x = x . x^(1/2)
= x^(1 + 1/2)
= x^(3/2)
∫ (x√x + x²) dx = ∫ (x^(3/2) + x²) dx
= (1/(3/2 + 1) ( x^(3/2 + 1) + (1/(2 + 1)) . x²⁺¹
= (1/(5/2)) x^(5/2) + (1/3) x³
= (2/5) x^(2 + 1/2) + (1/3) x³
= (2/5) x² √x + (1/3) x³ + C