Permisi gan saya ingin bertanya berhubungan dalam MTK saya jelek 1)... 2∫0 ( 1/2x^3 + 6x² + x - 1 ) 2)... 1∫0 0∫-1 6x (x² y^3 - 1/2x + 5x²) dx dy 3)... Volume B

integral
1.
₀²∫ 1/2 x³ + 6x² + x - 1 dx
=1/2 (1/4)(x⁴) + 6(1/3)(x³) + 1/2 (x)² - x ]²₀
= 1/8 (16) + 2(8) + 1/2 (4)
= 2 + 16 + 2
= 20

3.
y1 = 3x - x²
y2 = x
y1 -y2 = 0
3x - x²  = x --> x² - 2x = 0
x(x-2)= 0
x = 0 atau x = 2
.
V = π ₀² ∫y₁² - y₂² dx = π ₀²∫ (3x-x²)² - (x)² dx
V = π ₀²∫ 9x² - 6x³+ x⁴ - x² dx = π ₀²∫ x⁴ - 6x³ + 8x² dx
V = π [1/5 x⁵ - 3/2 x⁴ + 8/3 x³]²₀
V = π (32/5 - 3/2(16)+8/3(8))
V = (3 11/15) π

no. 2 lampiran