2. Classify the following integrals, and compute the value of the convergent ones. +∞ (a) / +∞ dx 1+x2 (b) / 1 dx x lna (x) (c) / x³¯¯ 3 X x2 dx 2 +∞ (d) / 1 ex + e-x 1 dx (e) ex - 1 dx (f) 0 0 1 X 1 .2 sin 1 (#) a dx

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
2. Classify the following integrals, and compute the value of the convergent
ones.
+∞
(a) /
+∞
dx
1+x2
(b) /
1
dx
x lna (x)
(c) / x³¯¯
3
X
x2
dx
2
+∞
(d) /
1
ex + e-x
1
dx
(e)
ex - 1
dx
(f)
0
0
1
X
1
.2
sin
1
(#) a
dx
Transcribed Image Text:2. Classify the following integrals, and compute the value of the convergent ones. +∞ (a) / +∞ dx 1+x2 (b) / 1 dx x lna (x) (c) / x³¯¯ 3 X x2 dx 2 +∞ (d) / 1 ex + e-x 1 dx (e) ex - 1 dx (f) 0 0 1 X 1 .2 sin 1 (#) a dx
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