4 1) (5.) Find the definite integral1V4 - r2 dx.2) (5.5) Find the indefinite integral, S x2(4x3 + 3)7dx.3) (5.6) Find the area enclosed by y = x2 – 2x and y = x + 4.4) (6.) Find the volume of the solid formed from the region betweeny = e*, y = 0, x = 0,x = 1 rotated about the y-axis.5) (6.3) Find the length of the curve f (x) = In(cos(x)) for 0 < x < /3.%3D6) (8.1) Sx sin(2x) dx7) (8.) v9- x² dx8) (8.4)dxx3 + xdx.9) (8.7) Find the integrals convergence and its valuex310) (9.) Determine the convergence of the following.Σ1(2n)!n2 + nn=111) (9.) Determine the absolute convergence of the following.

Answered: Image /qna-images/answer/e01d7298-266a-4f65-b18a-9ac149b7db4a.jpg

Answered: 4) (6.) Find the volume of the solid…

4) (6.) Find the volume of the solid formed from the region between y = e*, y = 0, x = 0, x = 1 rotated about the y-axis. %3D

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Question

1) (5.) Find the definite integral
1
V4 - r2 dx.
2) (5.5) Find the indefinite integral, S x2(4x3 + 3)7dx.
3) (5.6) Find the area enclosed by y = x2 – 2x and y = x + 4.
4) (6.) Find the volume of the solid formed from the region between
y = e*, y = 0, x = 0,x = 1 rotated about the y-axis.
5) (6.3) Find the length of the curve f (x) = In(cos(x)) for 0 < x < /3.
%3D
6) (8.1) Sx sin(2x) dx
7) (8.) v9- x² dx
8) (8.4)
dx
x3 + x
dx.
9) (8.7) Find the integrals convergence and its value
x3
10) (9.) Determine the convergence of the following.
Σ
1
(2n)!
n2 + n
n=1
11) (9.) Determine the absolute convergence of the following.

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