'Top function' presentation slideshows

Area

Area. Back to Area:. We can calculate the area between the x-axis and a continuous function f on the interval [a,b] using the definite integral: Where f(x i * ) is the height of a rectangle and ?x is the width of that rectangle. {(b-a)/n (n is the number of rectangles)}

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Finding the area between the curves

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6 8 1 7

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7.2

7.2. Areas in the Plane. How can we find the area between these two curves?. Consider a very thin vertical strip. The length of the strip is:. or. Since the width of the strip is a very small change in x , we could call it dx.

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Section 5.3: Finding the Total Area

y. y. y = f ( x ). y = g ( x ). x. x. a. b. a. b. Shaded Area =. Shaded Area =. Section 5.3: Finding the Total Area. y= f ( x ). y= f ( x ). y= f ( x ). y = g ( x ). y = g ( x ). a. a. b. b. y = g ( x ). Area under f ( x ) =. Area under g ( x ) =. a. b.

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