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Lecture

6.1 Areas Between Curves Question #6 (Medium)

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School
University of Toronto St. George
Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
6.1 Integral Applications Area Between Two Functions Question #6 (Medium): Finding the Missing Variable From the Area Between Two Functions Strategy After establishing the expression for the area bound by two functions ∫ [ ( ) ( ) ] , work backwards to find any missing variable. Graph the area bound by the functions as a helpful guide which helps to see which function lies at the top and bottom. Setting the right order of ( ) ( ) is very important. Then the rest of the calculation is applying various integral properties to simplify and finding the missing variable. Sample Question Find the value of where the region enclosed by the functions and is . Solution The given functions are written in terms of . Graphing the functions also indicate that the integral should be done over . Then, ∫ [ ] . Since sets the right boundary, ; and since sets the left boundary, . -intercept means . So equatin
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