Trapezoidal Approximation Steps Flashcards

1
Q

Step 1

A

Find 🔺x

🔺x= (b-a)/n

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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
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3
Q

Step 3

A

Plug in y values into Trapezoidal formula

2s at every y except first and last

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4
Q

Step 4

A

Use f^ii or 2nd derivative to find M

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5
Q

Step 5

A

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

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6
Q

Step 6

A

Calculate integral to find “True Value”

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7
Q

Step 7

A

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

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8
Q

Step 8

A

Calculate percentage of error

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

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