Дано:
y = Nx - x²
y = x
N = 4
---------------
s - ?
Решение
1) Nx - x² = x
4x - x² - x = 0
3x - x² = 0
x(3 - x) = 0
3 - x = 0
∫₀³(3x - x²)dx = ∫₀³3xdx - ∫₀³x² = 3x²/2 - x³/3 = x²(3/2 - x/3) = 3²(1,5 - 1) = 9 * 0,5 = 4,5
Ответ: s = 4,5
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Дано:
y = Nx - x²
y = x
N = 4
---------------
s - ?
Решение
1) Nx - x² = x
4x - x² - x = 0
3x - x² = 0
x(3 - x) = 0
3 - x = 0
∫₀³(3x - x²)dx = ∫₀³3xdx - ∫₀³x² = 3x²/2 - x³/3 = x²(3/2 - x/3) = 3²(1,5 - 1) = 9 * 0,5 = 4,5
Ответ: s = 4,5