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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Question
please solve question 6 and the last one

Transcribed Image Text:7
9
10
12
13
The partial fraction for the function-
(A)
(C)
dx=
I started states
4-e
[3x²e²dx=
Le'de=
4x+A₂ A₂x+4₂
2+1 (x²+1)
(A) 1
4x+4 Ax+A
²+1 (x²+1)
(A) sin
(C) x=2 tan
x-1(x-1)
The suitable substitution for the integral√x-√x dx is (A) x-u
(B) x-²
Determine the values of p for which the integral [(x-4) is improper (A) p<1 (9) >1 (p=0 (p=1
(8) 4
(c) 3
(D) The integral diverges
Which of the following is not an improper integral (A) [tan x de
dx
(A) 2e" (x²-1)+c
(A) e
1
(B)-sin
(8) O
(8)
fe
2
LIE
(D)
2
(D) x-3 tan
tan x de (8) cotx ds to
(s)
+0
A
x-1 (x-1)³
4₂x+4₂
ZIN
(C) 2 sinh 2
<<-2e
2√4-
(C) e ¹x² +c
(C)
+C
{D) 2 sinh 3
(D)
(D) tan
(D) x="
2
dx
(D) e¹¹ (x²-1)+c
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