Trapezoidal Approximation Steps Flashcards
1
Q
Step 1
A
Find 🔺x
🔺x= (b-a)/n
2
Q
Step 2
A
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
3
Q
Step 3
A
Plug in y values into Trapezoidal formula
2s at every y except first and last
4
Q
Step 4
A
Use f^ii or 2nd derivative to find M
5
Q
Step 5
A
Calculate |ET|< M(b-a)^3/12n^2
6
Q
Step 6
A
Calculate integral to find “True Value”
7
Q
Step 7
A
Subtract trapezoidal estimate and true value to calculate |ET| again
8
Q
Step 8
A
Calculate percentage of error
(|ET|/True Value) x 100 = %