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Lecture

# 6.1 Areas Between Curves Question #2 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
6.1 Integral Applications Area Between Two Functions Question #2 (Medium): Evaluating the Area Between Two Functions Without a Graph Strategy 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 . This is expressed as: ∫ [ ] . 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. Sample Question 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. Then evaluate the area of the bound region. , Solution The graph of two functio
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