5.2 Definite Integrals Objectives SWBAT: 1) express the area under a curve as a definite integral and as a limit of Riemann sums 2) compute the area under.

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Presentation transcript:

5.2 Definite Integrals Objectives SWBAT: 1) express the area under a curve as a definite integral and as a limit of Riemann sums 2) compute the area under a curve using a numerical integration procedure

Riemann Sum In order for a sum to be considered a Riemann Sum:

A definite integral is defined as a limit of a Riemann Sum. We are merely increasing the number of rectangles to infinity.

Using Definite Integrals as Area

Example 1: For each of the following examples, sketch a graph of the function, shade the area you are trying to find, then use geometric formulas to evaluate each integral.

Definite Integrals on the Nspire