The estimated value of the integral from 0 to 2 of x squared dx , using the trapezoidal rule with 4 trapezoids is

Question

The estimated value of  , using the trapezoidal rule with 4 trapezoids is

a)

2.75

b)5.50

c)1.88

d)3.75

my answer is a

Answer 1

Δx = (2 - 0)/4 = 0.5

∫₀²x²dx ≈ 0.5/2(0² + 2² + 2(0.5² + 1² + 1.5²) = 2.75

Your answer is a)