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Lecture

# 8.2 Surface Area of Revolution Question #2 (Medium)

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

Description
8.2 Challenging Integral Applications Surface Area of Revolution Question #2 (Medium): Surface Area From Rotating the Function About the X-Axis Strategy When the function is rotated about the -axis, then the radius extends vertically up. When the function is expressed as , then use the formu∫a √ ( ) . But if the function is given in the form of , then use ∫ √ ( ) . The part that comes from arc length can be evaluated with because based on √ ( ) √ ( ) . So no rearrangement is necessary and the derivative can be taken as it is. Sample Question Find the exact surface area obtained by rotating the given function about the -axis. , Solution
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