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Objective: Use Trapezodial Sums to approximate definite integrals of functions

Objective: Use Trapezodial Sums to approximate definite integrals of functions. Agenda: 1. Beginning Review of U-Substitution 2. Collect 5.5 homework 3. Questions on 6.5 homework 4. AP problem – 2004 5. Teach Trapezodial Rule. Numerical Integration. 7.7 – Trapezoidal Rule.

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Objective: Use Trapezodial Sums to approximate definite integrals of functions

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  1. Objective: Use Trapezodial Sums to approximate definite integrals of functions • Agenda: • 1. Beginning Review of U-Substitution • 2. Collect 5.5 homework • 3. Questions on 6.5 homework • 4. AP problem – 2004 • 5. Teach Trapezodial Rule

  2. Numerical Integration 7.7 – Trapezoidal Rule

  3. “Trapezoidal Rule” • For some functions we cannot find an antiderivative. We must resort to approximation techniques. • Let f be continuous on [a, b]

  4. Trapezoidal cont. • Area trapezoid =

  5. Error in Trapezoidal Rule

  6. Example

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