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Area under a Curve

This is part of the HSC Mathematics Advanced course under the topic of Integral Calculus: Areas and the definite integral

In this post, we learn that ‘the area under a curve’ refers to the area between a function and the x-axis, bounded by two values of the independent variable and interpret the area under a curve in a variety of contexts to solve problems.

 

Areas under Curves (1 of 4: Using Rectangles with variable widths to estimate the area under curves)

 

Area under Curves (2 of 4: Using Series to generalise Riemann’s estimation for the area under a curve)

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