Trapezoidal Approximation Steps

Question 1

Step 1

Answer 1

Find 🔺x

🔺x= (b-a)/n

Question 2

Step 2

Answer 2

Calculate each partition

x0= a

x1: a+🔺x
x2: a+2🔺x

y0= x0 plugged into equation
y1= x1 plugged into equation
y2= x2 plugged into equation

Question 3

Step 3

Answer 3

Plug in y values into Trapezoidal formula

2s at every y except first and last

Question 4

Step 4

Answer 4

Use f^ii or 2nd derivative to find M

Question 5

Step 5

Answer 5

Calculate |ET|< M(b-a)^3/12n^2

Question 6

Step 6

Answer 6

Calculate integral to find “True Value”

Question 7

Step 7

Answer 7

Subtract trapezoidal estimate and true value to calculate |ET| again

Question 8

Step 8

Answer 8

Calculate percentage of error

(|ET|/True Value) x 100 = %