Long description: fig1

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A graph showing the area under a curve defined by the function y = f(x) between the vertical lines x = a and x = b.

Alt text: A graph showing the area under a curve defined by the function y = f(x) between the vertical lines x = a and x = b.

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  • The image displays a coordinate system with the horizontal axis labeled x and the vertical axis labeled y.
  • A continuous curve, representing the function y = f(x), is plotted across the graph.
  • The region beneath the curve, bounded by the function, the x-axis, and the vertical lines x = a and x = b, is shaded gray.
  • The area of this shaded region is labeled "area required," illustrating the definite integral of the function over the specified interval.

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