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Lecture

# 8.2 Surface Area of Revolution Question #4 (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 #4 (Medium): Surface Area From Rotating the Function About the Y-Axis Strategy When the function is rotated about the -axis, the radius extends horizontally. When the function is expressed as , then ∫ √ ( ) . But if the function is given as , then ∫ √ ( ) . The expression from arc length can be evaluatedjust as well because √ ( ) √ ( ) . The function does not have to be rearranged, 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.
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