TRAPEZOIDAL AREA SIMPSONS RULE Section 4 6 Calculus

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TRAPEZOIDAL AREA &SIMPSON’S RULE Section 4. 6 Calculus AP/Dual, Revised © 2013 viet. dang@humble.

TRAPEZOIDAL AREA &SIMPSON’S RULE Section 4. 6 Calculus AP/Dual, Revised © 2013 viet. dang@humble. k 12. tx. us 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 1

REVIEW Find the area of the trapezoid. 12/20/2021 5: 15 AM 4. 6 -

REVIEW Find the area of the trapezoid. 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 2

TRAPEZOIDAL AREA (UNEVEN AREA) Find the area of the curve using the trapezoid sum.

TRAPEZOIDAL AREA (UNEVEN AREA) Find the area of the curve using the trapezoid sum. 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 3

TRAPEZOIDAL RULE 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 4

TRAPEZOIDAL RULE 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 4

EXAMPLE 1 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 5

EXAMPLE 1 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 5

EXAMPLE 1 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 6

EXAMPLE 1 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 6

EXAMPLE 2 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 7

EXAMPLE 2 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 7

YOUR TURN 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 8

YOUR TURN 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 8

REVIEW 12/20/2021 5: 15 AM x 1 2 5 6 7 f(x) 2 3

REVIEW 12/20/2021 5: 15 AM x 1 2 5 6 7 f(x) 2 3 – 1 4 8 4. 6 - Trapezoidal Area 9

EXAMPLE 3 12/20/2021 5: 15 AM x 1 2 5 6 7 f(x) 2

EXAMPLE 3 12/20/2021 5: 15 AM x 1 2 5 6 7 f(x) 2 3 – 1 4 8 4. 6 - Trapezoidal Area 10

YOUR TURN 12/20/2021 5: 15 AM x 1 3 8 12 13 f(x) 2

YOUR TURN 12/20/2021 5: 15 AM x 1 3 8 12 13 f(x) 2 5 3 1 4 4. 6 - Trapezoidal Area 11

SIMPSON’S RULE (BC) 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 12

SIMPSON’S RULE (BC) 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 12

THE PATTERN 1 4 2. . . 4 2 4 1 12/20/2021 5: 15

THE PATTERN 1 4 2. . . 4 2 4 1 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 13

EXAMPLE 5 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 14

EXAMPLE 5 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 14

EXAMPLE 6 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 15

EXAMPLE 6 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 15

YOUR TURN 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 16

YOUR TURN 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 16

ASSIGNMENT Pg 314 1 -13 odd, 39 12/20/2021 5: 15 AM 4. 6 -

ASSIGNMENT Pg 314 1 -13 odd, 39 12/20/2021 5: 15 AM 4. 6 - Trapezoidal Area 17