A,b,c are solved needs only answer for d part

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A,b,c are solved needs only answer for d part          

(a)
So
put
So
Let
I =
So
I
I =
value
I =
I =
I = √3x² (x²-2)" dz
put
Su" du
Put
2²
5
Let
So that
+ C
of
So
(x²³= 2)² + c
5
u
So
I =
put
U = x²³ - 2
=
put
that
we
→
=)
- Stdt. t.
6
value of t
put value of
that
du
dx
du =
((2x+3)(x²+32-4)
4
(x² + 9x-4) +
6
I = (x²-9)
8
n+l
[ A₁ √x dx = 22²1
n+l
get
t =
dt
dx
(c) Let I= √x (x²-3) dx
и
3x² dx
we
dt = (2x +9) dx
3x²
+ C
+ C
U =
du
2
x² + 9x - 4
du
= 2x + 9
+ C
get
du =
dx
x²-9
=
I= √ ₁² du = = √₁² du
S
u³
Su³
2
2
2x
= 2x dx
x dx
we
• +4² + c
и
2
dx
4
니
8
+ C
get
Transcribed Image Text:(a) So put So Let I = So I I = value I = I = I = √3x² (x²-2)" dz put Su" du Put 2² 5 Let So that + C of So (x²³= 2)² + c 5 u So I = put U = x²³ - 2 = put that we → =) - Stdt. t. 6 value of t put value of that du dx du = ((2x+3)(x²+32-4) 4 (x² + 9x-4) + 6 I = (x²-9) 8 n+l [ A₁ √x dx = 22²1 n+l get t = dt dx (c) Let I= √x (x²-3) dx и 3x² dx we dt = (2x +9) dx 3x² + C + C U = du 2 x² + 9x - 4 du = 2x + 9 + C get du = dx x²-9 = I= √ ₁² du = = √₁² du S u³ Su³ 2 2 2x = 2x dx x dx we • +4² + c и 2 dx 4 니 8 + C get
Evaluate the indefinite integrals using Substitution. (use
C for the constant of integration.)
a) [ 3x²(x²³ - 2) ¹ dx =
/
›) (2x +9)(x² +9x − 4)³ dx =
-
c) √ x(x² − 9)³ dx
=
d) =
(28x + 4)(7x² + 2x − 8) ª dx
(28
Transcribed Image Text:Evaluate the indefinite integrals using Substitution. (use C for the constant of integration.) a) [ 3x²(x²³ - 2) ¹ dx = / ›) (2x +9)(x² +9x − 4)³ dx = - c) √ x(x² − 9)³ dx = d) = (28x + 4)(7x² + 2x − 8) ª dx (28
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