How to solve
When a graph lies above the x-axis, its definite integral equals the geometric area between the curve and the axis.
Steps
- Identify the shaded shape and its dimensions.
- Use the relevant geometry formula.
- Because the region is above the axis, report positive area.
Example
The region under y = x from x = 0 to x = 4 is a triangle.
- Base = 4 and height = 4.
- Area = 1/2 · 4 · 4 = 8.
Answer: 8
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