Trapezoidal Approximation Steps Flashcards Preview

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Flashcards in Trapezoidal Approximation Steps Deck (8)
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1

Step 1

Find 🔺x

🔺x= (b-a)/n

2

Step 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

3

Step 3

Plug in y values into Trapezoidal formula

2s at every y except first and last

4

Step 4

Use f^ii or 2nd derivative to find M

5

Step 5

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

6

Step 6

Calculate integral to find “True Value”

7

Step 7

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

8

Step 8

Calculate percentage of error

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