MATH 101 Lecture Notes - Lecture 17: Riemann Sum
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Math 101 - lecture 17 - approximate integrals - friday, february 13th. For this rule we will start of by using the same principle as the midpoint rule. We will divide interval [y,z] into n intervals with equal width, which gives us x=z y /(n) The next step is to use interval and approximate the function with a straight line that equals the function values at either endpoint of the interval. Each object received after making the straight lines is a trapezoid which is the reason for the name. The last method we will deal with is simpson"s rule. For simpson"s rule we approximate the function with a quadratic however we need that the quadratic agree with three of the points from our chosen subintervals. The following is the simplification of simpson"s rule: An example of the simpson"s rule has been described below: Next we move on to improper integration or integration to infinity and beyond.
