Answer:
4/3 units²
Step-by-step explanation:
First find the x-coordinates of B
x² - 4x + 3 = 0
x² - 3x - x + 3 = 0
(x - 3)(x - 1) = 0
x = 3 for B (x = 1 is for the first x-intercepts)
Now integrate the curve with limits 3 to 4
Integration:
(x³/3) - 4(x²/2) + 3x
x³/3 - 2x² + 3x
Upper limit - Lower limit
[4³/3 - 2(4)² + 3(4)] - [3³/3 - 2(3)² + 3(3)]
= 4/3 - 0
= 4/3 or 1⅓ or 1.33 units²
