School level

Integration and Area

- Integration and Area Part One

Use this interactive file to understand how anti-differentiation allows us to integrate or find the area between a continuous function and the x-axis. Also learn how the trapezoidal rule may be used to estimate the area.

Instructions:

  1. Drag the slider to change the quadratic function.
  2. Click on the blue check box to show the area bounded by the function and the x-axis as calculated using integration.
  3. Click on the red check box to show an estimate of this area using the trapezoidal rule.
  4. Drag the slider n to change the number of trapezia used in the estimation of the area.

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