Дано: v (t) = 4t^3+3t^2-4t м/ct1=1c t2=2cвычислить Sпуть

V (t) = 4t³ + 3t² - 4t м/c, t₁ = 1c, t₂ = 2c,

S = V (t) * t,

S = (4t³ + 3t² - 4t) * t,

1) S₁ = (4t³ + 3t² - 4t) * t,

S₁ = (4t⁴ + 3t³ - 4t²),

S₁ = (4 * (1) ⁴ + 3 * (1) ³ - 4 * (1) ²),

S₁ = 4 * 1 + 3 * 1 - 4 * 1,

S₁ = 4 + 3 - 4,

S₁ = 3 м.

2) S₁ = (4 * (2) ⁴ + 3 * (2) ³ - 4 * (2) ²),

S₁ = 4 * 16 + 3 * 8 - 4 * 4,

S₁ = 64 + 24 - 64,

S₁ = 24 м.

Ответ: S₁ = 3 м, S₁ = 24 м.