3 Area Under a Curve (revisited) We use the definite integral to find the area under a curve. The limits of integration are a and b. The height of the rectangle is represented by f(x), the width by dx and the sum by the definite integral.
5 Finding Arc LengthWe want to determine the length of the continuous function f(x) on the interval [a,b] . Initially we’ll need to estimate the length of the curve. We’ll do this by dividing the interval up into n equal subintervals each of width x and we’ll denote the point on the curve at each point by Pi. We can approximate the curve by a series of straight lines connecting the points.
18 ClosureExplain the difference in these two formulas.
19 Independent Assignment Notebook: p 485 # 3 - #11 odd. Check your answers in the back of the book.Graded Assignment: HW Sec 7.4 in Schoology. Enter the first ½ of the answers in Schoology. Due Tuesday, May 15, before class.