MAT136H1 Lecture : 6.1 Areas Between Curves Question #2 (Medium)

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #2 (medium): evaluating the area between two functions without a graph. When two functions are given without a graph, then first graphing the function is helpful. Also, one of the first steps to set aside is determining the points of intersection between two functions by setting them equal to each other. If the bound area falls within two vertical lines of values, the integral should be with respect to . If the bound area falls within two horizontal lines of values of points of intersection, the integral should be over . The function setting the right boundary is , and the function setting the left boundary is . The interval is [ ] where and are the values of the points of intersection. Sketch the area bound by the given functions. Decide whether to integrate over the variable or . In the sketch also include an approximating rectangle with the labeled height and width.