Now, at the end of the quarter, we have a much better understanding for definite integrals and some of their applications. We can use our knowledge of how to find the "area" between a curve and an axis to find areas bounded by two, three, or any number of curves. Not only that, but we can now find volumes when rotating a bounded area around a particular horizontal or vertical axis. We can even apply our knowledge to cross-sectional volume problems. This makes this concept, and therefore the respective blog-post, invaluable to those who want to understand what a definite integral is on a conceptual level. Attached is a link that shows some of the other promising applications of integration that we may encounter in future calculus courses:
Now, at the end of the quarter, we have a much better understanding for definite integrals and some of their applications. We can use our knowledge of how to find the "area" between a curve and an axis to find areas bounded by two, three, or any number of curves. Not only that, but we can now find volumes when rotating a bounded area around a particular horizontal or vertical axis. We can even apply our knowledge to cross-sectional volume problems. This makes this concept, and therefore the respective blog-post, invaluable to those who want to understand what a definite integral is on a conceptual level.
ReplyDeleteAttached is a link that shows some of the other promising applications of integration that we may encounter in future calculus courses:
http://www.mecca.org/~halfacre/MATH/appint.htm
--Marcel