Simpson Rule Steps

Question 1

Step 1

Answer 1

Find 🔺x

Question 2

Step 2

Answer 2

Calculate partitions (x,y)

Question 3

Step 3

Answer 3

Plug in y values in Simpson rule

(Y0+4+2+4+2+4+ Yn)except first and last

Question 4

Step 4

Answer 4

Use f^IV or fourth derivative to find M

Question 5

Step 5

Answer 5

Calculate |Es| < M(b-a)^5/180n^4

Question 6

Step 6

Answer 6

Calculate integral w/ bounds to find True Value

Question 7

Step 7

Answer 7

Subtract Simpson estimate and true value to find |Es| again

Question 8

Step 8

Answer 8

Calculate percentage of error (|Es|/True value) x 100 = %