π/₂ π/₂
Let f be the function given by f (x) = sin² (x/4)e⁻ˣ². It is known that ∫ f (x) dx = 0.0223. If a midpoint Riemann sum with two intervals of equal length is used to approximate ∫
⁰ π/₂ ⁰
f(x)dx, what is the absolute difference between the approximation and ∫ f (x) dx?

A) 0.0007
B) 0.0013
C) 0.0100
D) 0.0107