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Area Under a Curve

Area Under a Curve. 5.1. MRAM. Approximate the area under the curve on the interval [1,4] using n=6. . Trapezoid Rule. We can approximate the area under the curve using trapezoids. This is much more accurate for a small n. We would find this using similar techniques as RAM. .

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Area Under a Curve

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  1. Area Under a Curve 5.1

  2. MRAM Approximate the area under the curve on the interval [1,4] using n=6.

  3. Trapezoid Rule • We can approximate the area under the curve using trapezoids. This is much more accurate for a small n. We would find this using similar techniques as RAM.

  4. Trapezoid Rule • The trapezoid rule can be generalized as follows:

  5. Example • Use the trapezoid rule and n=4 to approximate the area under on [1, 3]

  6. Homework • Use MRAM and Trapezoid rule to approximate the area under the curve on the interval [0, π/2] using n=4. • Use MRAM and Trapezoid rule to approximate the area under the curve on the interval [0, π] using n=4.

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