dentify the definite integral that represents the area of the surface formed by revolving the graph of f(x) = x³ on the interval [0, 1] about the y-axis. 2 T - [² 27 + fx. x√1 + 9x¹ dx 22 2πT x√1 + 3x² dx [₁²x x³√√1 + 3x² dx 2π 277 f. ²³ ✓ x³√1 + 9xª dx

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Identify the definite integral that represents the area of the surface formed by revolving the
graph of f(x) = x³ on the interval [0, 1] about the y-axis.
-S²
27
27
S²
x√1 + 9xª dx
2πT
1
+S.+²
x√1 + 3x² dx
27
x³√√1 + 3x² dx
-S²x
x³√1 + 9xª dx
Transcribed Image Text:Identify the definite integral that represents the area of the surface formed by revolving the graph of f(x) = x³ on the interval [0, 1] about the y-axis. -S² 27 27 S² x√1 + 9xª dx 2πT 1 +S.+² x√1 + 3x² dx 27 x³√√1 + 3x² dx -S²x x³√1 + 9xª dx
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