volume benda putar kurva y=x^2 garis y=2x kuadran 1 diputar 360°
Matematika
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Pertanyaan
volume benda putar kurva y=x^2 garis y=2x kuadran 1 diputar 360°
1 Jawaban
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1. Jawaban Es1w1
y = x²
y = 2x
x² - 2x= 0
x(x - 2 ) = 0
x = 0
x = 2
V = π (0..2) ∫ (2x)² - (x²)² dx
V = π (0..2) ∫ ( 4x² - x⁴) dx
V = π [ 4/3 x ³ - 1/5 x⁵] (2..0)
V = π [ 4/3 (8) - 1/5 (32)]
V = π [ 32/3 - 32/5]
V = 64/15 π