Area, Volume, and Arc Length Topics

We need to learn to slice flat food first. After it is has been de-boned, a fish such as salmon is relatively flat.We are going to make fish sticks, so we need to cut it into thin strips. We slice...

Slicing Cold PizzaFirst, let's forget about calculus and use our knowledge of fractions to answer the following question.Sample ProblemWhat is the area of the shaded region?Answer.Think of the shad...

We know how to integrate our favorite flat foods to find their areas. Our next step is to learn how to integrate our favorite 3-D foods to find their volumes. In terms of the methods we will learn,...

Solids of revolution are not fruits thrown at tyrannical rulers in protest. A solids of revolution is a volume built by rotating an area around a predetermined center line called the axis of rotati...

We've prepared our fish by cutting it into flat rectangular portions and we've sliced our vegetables into thin slices. We've even gone off on a tangent, playing with frisbees and toilet paper tubes...

In this section we left the integrating to the calculators. That's practical, because the calculators can integrate much more quickly and accurately than we can. Instead, we've been spending our ti...