The Fundamental Theorem of Calculus

Read the Fundamental Theorem of Calculus, by checking the box. Move text boxes around as needed. Enter a function for f(x). Enter an interval for [a,b]. Explore the information and relate it to what you have learned. Change n and r on the slider tool and see what happens. Graph some of the functions from your assignment and check your answers. Find your mathematical mistakes before turning in your work. Answer the questions at the bottom of the activity.

Write the questions below on your own piece of paper and staple it to your assignment. 1. Did you find this activity valuable in better understanding the concepts we have learned? Explain 2. What is the relationship between the integrand function and the integral function? 3. Explain what happens if you change n or r. Why do you think the value of the sum changes?