Consider the integral: -1/2x x N 1 dx + VEL Le-112 dt 2T a) Explain why...

Transcribed Image Text:

Consider the integral: -1/2x x N 1 dx + VEL Le-112 dt 2T a) Explain why the trapezoidal and Simpson 1/3 rules do not allow us to approximate the integral N. b) Consider the compound quadrature rule for m subintervals, b m-2 jf(x) dx bra (3f(x) + 2 (xi) +3 (F#m-1) 3f 2m i=2 a with x = a + ih for i = 0: m . Use this rule with m = 6 to show that the value of N= 0.8651 Consider the integral: -1/2x x N 1 dx + VEL Le-112 dt 2T a) Explain why the trapezoidal and Simpson 1/3 rules do not allow us to approximate the integral N. b) Consider the compound quadrature rule for m subintervals, b m-2 jf(x) dx bra (3f(x) + 2 (xi) +3 (F#m-1) 3f 2m i=2 a with x = a + ih for i = 0: m . Use this rule with m = 6 to show that the value of N= 0.8651