точки пересечения:
-4x - x² = x + 4
x² + 5x + 4 = 0
(x+1)(x+4)=0
x₁ = -4
x₂ = -1
-4x-x^2=x+4
x^2+x+4+4x=0
x^2+5x+4=0
D=25-16=9
x1=(-5+3)/2*1= -2/2=-1
x2=(-5-3)/2*1= -8/2=-4
(-4;-1) S (-x^2-5x-4)dx = -x^3/3 -5x^2/2 -4x | (-4;-1) =
=1/3-5/2+4-(64/3-40+16) = 1/3-2,5+4-64/3+24 = -21-2,5+28=4,5
точки пересечения:
-4x - x² = x + 4
x² + 5x + 4 = 0
(x+1)(x+4)=0
x₁ = -4
x₂ = -1
-4x-x^2=x+4
x^2+x+4+4x=0
x^2+5x+4=0
D=25-16=9
x1=(-5+3)/2*1= -2/2=-1
x2=(-5-3)/2*1= -8/2=-4
(-4;-1) S (-x^2-5x-4)dx = -x^3/3 -5x^2/2 -4x | (-4;-1) =
=1/3-5/2+4-(64/3-40+16) = 1/3-2,5+4-64/3+24 = -21-2,5+28=4,5