Let R be the region in the first quadrant bounded by the graph of y = x² + 4x and the x-axis. A solid is generated when R is revolved around the horizontal line y = -3. What is the definite integral that gives the volume of this solid? (-x²+4x+3)² dx *(-x²+4x-3)² dx (-x+4x+3)-9] (-x+4x-3)2 – 9]ax

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 75E
Question
Let R be the region in the first quadrant bounded by the graph of y = x² + 4x and the x-axis. A solid is generated when R is revolved around the horizontal line y = -3. What is the definite integral that gives the volume
of this solid?
(-x²+4x+3)² dx
*(-x²+4x-3)² dx
(-x+4x+3)-9]
(-x+4x-3)2 – 9]ax
Transcribed Image Text:Let R be the region in the first quadrant bounded by the graph of y = x² + 4x and the x-axis. A solid is generated when R is revolved around the horizontal line y = -3. What is the definite integral that gives the volume of this solid? (-x²+4x+3)² dx *(-x²+4x-3)² dx (-x+4x+3)-9] (-x+4x-3)2 – 9]ax
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