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Area Approximations

Area Approximations. Applications of Integration. Approximations. Approximate the area under the curve from to . Use 4 subintervals (n=4) Using a left sum Using a right sum Using a midpoint sum Using the Trapezoidal Rule Using rectangles of whatever width you choose .

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Area Approximations

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  1. Area Approximations Applications of Integration

  2. Approximations • Approximate the area under the curve from to . Use 4 subintervals (n=4) • Using a left sum • Using a right sum • Using a midpoint sum • Using the Trapezoidal Rule • Using rectangles of whatever width you choose. • Find the EXACT area.

  3. Approximating Areas • Approximate Use 6 subintervals. • Josh: Use a left sum. • Karina: Use a right sum. • Holly: Use a midpoint sum. • Natalie: Use the Trapezoidal Rule.

  4. Simpson’s Rule • Note: n must be EVEN to use Simpson’s Rule! • Approximate Use 6 subintervals.

  5. Simpson’s Rule • Use Simpson’s Rule with to approximate . • Use Simpson’s Rule with to approximate . • What is the actual value of

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