3Area 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.
5Finding 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.
18ClosureExplain the difference in these two formulas.
19Independent 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.