For problems 4athrough 4d use either integration or the comparison test. Determine whether the following Improper integral converges or diverges. Evaluate if convergent.For a and b ONLY!a) ∫ sin^2x/sqrt xdxb) ∫ dx/x^3+1 2. For problems 4a through 4d use either integration or the comparison test.Determine whether the following Improper integral converges or diverges. Evaluate ifconvergent.#sin²xa) Jodxb) Jo 041+10014 Sinc) S-dx1d) S²dx-x-2xdx

Answered: Image /qna-images/answer/95741d5e-6f24-422e-bf4e-1365c543f907.jpg

Answered: ĐI sin². √x Jo -dx dx +1

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ĐI sin². √x Jo -dx dx +1

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

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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Question

For problems 4athrough 4d use either integration or the comparison test. Determine whether the following Improper integral converges or diverges. Evaluate if convergent.

For a and b ONLY!

a) ∫ sin^2x/sqrt xdx

b) ∫ dx/x^3+1

2. For problems 4a through 4d use either integration or the comparison test.
Determine whether the following Improper integral converges or diverges. Evaluate if
convergent.
#sin²x
a) Jo
dx
b) Jo 041
+1
0014 Sin
c) S
-dx
1
d) S²
dx
-x-2x
dx

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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