Please answer the question. Asap. Thank you. Consider the definite integrals I, II, III and IV below.I:+ (x [** dz) - #x dxII: 27Jo+ [III: TT(-y³ + y² + 2y) dyIV: 2π(-x² + 5x - 4) dx[² x√e dx + 2x [* (x√x - x² + 2x) dxx dx + πWhich of I, II, III or IV give the volume of the solid generated when the shaded region is revolvedabout the x-axis?O II onlyO II and III onlyO I and II onlyO I, II and III onlyOIV only The shaded region below is bounded by the semi-parabola y = √, the line y = x - 2, and thex-axis.-2--1-II: 2π0Consider the definite integrals I, II, III and IV below.+ ( + √² 2 4²) - 4I:dx0·S (-2²³ + 3² + 2y) dy34

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Math

Advanced Math

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 28E

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Question

Please answer the question. Asap. Thank you.

Consider the definite integrals I, II, III and IV below.
I:
+ (x [** dz) - #
x dx
II: 27
Jo
+ [
III: TT
(-y³ + y² + 2y) dy
IV: 2π
(-x² + 5x - 4) dx
[² x√e dx + 2x [* (x√x - x² + 2x) dx
x dx + π
Which of I, II, III or IV give the volume of the solid generated when the shaded region is revolved
about the x-axis?
O II only
O II and III only
O I and II only
O I, II and III only
OIV only

The shaded region below is bounded by the semi-parabola y = √, the line y = x - 2, and the
x-axis.
-2-
-1-
II: 2π
0
Consider the definite integrals I, II, III and IV below.
+ ( + √² 2 4²) - 4
I:
dx
0
·S (-2²³ + 3² + 2y) dy
3
4

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