(A) (C) x-1 Ax+A₂ Ax+A₂ (x-1) +1 (x²+1)² 4x+4 Ax+A (8) (al x-1

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.3: Partial Fractions
Problem 12E
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Question

please solve question 6 and the last one

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
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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