Engineering Board Exam Reviewer · Numerical Methods · medium

Use Simpson's 13 rule with n=4 to approximate 0π x,dx.

  1. 1.8961
  2. 2.0046
  3. 2
  4. 1.7877

Answer

B. 2.0046

Solution

h= π4. S= h3≤ft[f0+4f1+2f2+4f3+f4 ]=π/12≤ft[0+4≤ft( 2/2 )+2(1)+4≤ft( 2/2 )+0 ]=π/12(2+4 2) 2.0046.

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