MAT 1332 Lecture Notes - Lecture 2: Horse Length, Kilogram, Improper Integral

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1332
• Professor: Weixuan Li

Document Summary

This session covers sections 7. 6, and 7. 7: find the area of the region between the graphs of f (x) = 3x2 x and g(x) = 3x + 4 in the interval 0 x 3. Let 3x2 x = 3x + 4. 3x2 4x 4 = 0. x = graphs are. The graphs of these two functions are shown in the following figure: Points to emphasize: you must find the intersection points of the graphs first to determine whether the given interval includes one or more intersections, use a particular value in each interval to determine which function is bigger. In this example, since f (0) = 0 < g(0) = 4, g(x) > f(x) in interval (0, 1). Since f (3) = 24 > g(3) = 13, g(x) > f (x) in interval (2, 3). Fall 2018: consider the region r in x-y plane under the graph of y = x , above the line y = x.