...or ee')}, ."' Hence the following rule: To the sum of the extreme ordinates add twice the sum of the odd ordinates, and four times the sum of the even ordinates ; multiply the whole sum by one-third of the constant interval between them for the area. The same rule may be...

...known as Simpson's one-third rule: Take the sum of the end-ordinates, twice the sum of the intervening odd ordinates, and four times the sum of the even ordinates. Multiply the aggregate by one-third of the common distance between the ordinates. If we take four ordinates...

...$(ps + p4)bs + £p4b6. Area bounded by an Irregular Curve. Simpson's Rule on the Parabolic Method. — Add together the first ordinate, the last ordinate,...the extreme length of the diagram, and divide the FIG. 22A. result by three times the number into which the diagram is sectioned. For example, area of...

...ordinate, the last ordinate, twice, the sum of the other odd /V^W^^W^^V^VVM' 1 ? 1 W- -{---» /\ t ordinates, and four times the sum of the even ordinates....the extreme length of the diagram, and divide the FIG. 22A. result by three times the number into which the diagram is sectioned. For example, area of...

...sum of the lengths of the first and last ordinate add twice the sum of the lengths of the remaining odd ordinates and four times the sum of the even ordinates. Multiply by one-third the width of one strip. Using the notation given for the trapezoidal rule, the area by...

...proper additions and subtractions. SIMPSON'S RULE: Add together the first ordinate, (the perpendicular) the last ordinate, twice the sum of the other odd...the diagram and divide the result by three times the numbei of parts into which the diagram is divided. WRITTEN EXERCISES 1. State Simpson's rule as an...