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Lecture

# 8.2 Surface Area of Revolution Question #1 (Easy)

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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 #1 (Easy): Finding the 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 for∫ula √ ( ) . 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 other than rearrangement of the function is needed to express the vertically stretching radius, but as for the ds portion, the derivative can be taken as it is. Sample Question Find the exact surface area obtained
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