No 8 kqk pakai cara ya
Matematika
Safira11111111
Pertanyaan
No 8 kqk pakai cara ya
1 Jawaban
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1. Jawaban hendrisyafa
titik potong kurva
y₂ = y₁
4-x² = -x+2
0 = x²-x-2
(x-2)(x+1) = 0
x = 2 and x = -1
0 ≤ x ≤ 2
batas bawah = 0
batas atas = 2
L = ∫ y₂-y₁ dx
= ∫ (4-x²)-(-x+2) dx
= ∫ -x²+x+2 dx
= -¹/₃ x³ + ¹/₂ x² + 2x
L = (-¹/₃ 2³ + ¹/₂ 2² + 2.2) - (-¹/₃ 0³ + ¹/₂ 0² + 2.0)
= (-⁸/₃ + 2 + 4) - 0
= -⁸/₃ + 6
= -⁸/₃ + ¹⁸/₃
= ¹⁰/₃ satuan