Sketch the region of integration and evaluate the following integral. 12x² dA; R is bounded by y = 0, y = 4x+8, and y = 2x³ R Sketch the region of integration. Choose the correct graph below. O A. OB. Ау Q Ay Q Evaluate the integral. SS12x² dA= R Q ✔ C OC. Ay Q ✔ CD. A) 20 G

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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When I took the integral with respect to Y, I got -24x^2(x^3-2x-4). Then using this for the integral with respect to X from -2 to 0, I got 320. But the system says this is not the correct value.  Could you please print clearly or type the necessary steps to take to solve the problem?  Thank you.

Sketch the region of integration and evaluate the following integral.
12x² dA; R is bounded by y = 0, y = 4x+8, and y = 2x³
R
Sketch the region of integration. Choose the correct graph below.
O A.
OB.
Ау
Q
Ay
Q
Evaluate the integral.
SS12x² dA=
R
Q
✔
C
OC.
Ay
Q
✔
CD.
A)
20
G
Transcribed Image Text:Sketch the region of integration and evaluate the following integral. 12x² dA; R is bounded by y = 0, y = 4x+8, and y = 2x³ R Sketch the region of integration. Choose the correct graph below. O A. OB. Ау Q Ay Q Evaluate the integral. SS12x² dA= R Q ✔ C OC. Ay Q ✔ CD. A) 20 G
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