Select all statements that are true. If f is continuous everywhere except at x = 0, then lim t→0- | f(x)dæis convergent. +∞ The integral 1 dx is divergent. The area of a region between curves must never be negative. e-" dx is convergent. 15 5 COs x dx = In | sin x| sin x -5 = In | sin 5| – In |sin(-5)| = 0. -5

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...
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Select all statements that are true.
If f is continuous everywhere except at x =
0, then lim
t→0–
f(x)dx is convergent.
+∞
The integral
1
dx is divergent.
3
The area of a region between curves must never be negative.
p+∞
e dx is convergent.
25
COS x
dx
sin
In sin x|
= In | sin 5| – In | sin(-5)| = 0.
-5
-5
Transcribed Image Text:Select all statements that are true. If f is continuous everywhere except at x = 0, then lim t→0– f(x)dx is convergent. +∞ The integral 1 dx is divergent. 3 The area of a region between curves must never be negative. p+∞ e dx is convergent. 25 COS x dx sin In sin x| = In | sin 5| – In | sin(-5)| = 0. -5 -5
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