Find the total area of the region between the curve and the x-axis.

Question

Find the total area of the region between the curve and the x-axis.

y = x2 - 6x + 9; 2 ≤ x ≤ 4

MULTIPLE CHOICE

2/3

1/3

7/3

4/3

Answer 1

A = ∫₂⁴ x²-6x+9 dx

= x³/3-3x²+9x |₂⁴ = (64/3)-48+36-(8/3)+12-18 = (56/3)-18 = (56-54)/3 = 2/3

Answer #1