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Lecture

6.1 Areas Between Curves Question #4 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
6.1 Integral Applications Area Between Two Functions Question #4 (Medium): Interpreting the Area Bound by Two Functions Strategy From the integral expression, two functions need to be identified. Graph each function to see which one lies at the top and bottom. Equate the functions equal to each other to determine the points of intersection. Usually the interval from the integral matches the points of intersection. Look for or to see if the functions were integrated over or . Sample Question Interpret the integral as the area of a bound region. Then evaluate the integral. Include the sketch of the region. ∫ ( ) Solution Graphing the component inside the integral is as follows: Setting the functions equal to each other: ; cross multiply, then ( ) ; moving everything over to on
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