Definite Integral

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Objectives

To enable students to,

  1. understand the process of anti-differentiation.;
  2. recognize the problem of calculating areas bounded by non-linear function;
  3. understand how the limit of the sum of rectangles may be used to calculate the area bounded by a function;
  4. understand the meaning of ;
  5. calculate the area under a function between two extremes;
  6. apply knowledge and skills relating to anti-differentiation to solve problems;
  7. verify that the area bounded by the curve y=f(x), x=a, x=b and x-axis =

Prerequisites/Instructions, prior preparations, if any

Knowledge on plotting graphs, differentiation, mapping and computing functions.

Geogebra Resources


Download this geogebra file from this link.



Download this geogebra file from this link.


Process

Evaluation

Evaluate following Definite integrals and give their geometrical interpretation: