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Quiz yourself on Area Under CurvesGet your flashcardsBuild my revision planTrack my progressArea of Each Trapezium Strip
Each strip has two parallel vertical sides (the heights of the graph at the two edges of the strip). Its width is the distance between them.
Area of one strip = ½ × (a + b) × width
Where:
- a and b = the two heights (read from the graph) at the edges of the strip
- width = the horizontal width of the strip
- Add the areas of all the strips to get the estimate
Example: Estimate the area under a curve using 4 strips of equal width 2. The heights at the strip edges are 3, 5, 8, 7 and 4.
Strip 1: ½ × (3 + 5) × 2 = 8
Strip 2: ½ × (5 + 8) × 2 = 13
Strip 3: ½ × (8 + 7) × 2 = 15
Strip 4: ½ × (7 + 4) × 2 = 11
Total = 8 + 13 + 15 + 11 = 47 square units
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