EVALUATE: A = [² [²√² + ¹ dydr 1 X HINT: Perform a reversal of integration

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For the first image attached please do the calculations similar to the second image attached please I would really appreciate it 

 

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[10] (4) EVALUATE:
y
R = {(x, y) (0 5²5 $ $ $2}
H
a
y
R =
+4
A = f*f* cosz drdy
.. A =
=
[/
сых бу не
11
2: x= √7, 0≤ y ≤4
y = x², 0≤x≤2
2
{(0)| 055 $80}
y x²
2
= 6²[+= 15²/4
0
2
= √√² x ² α
Egl T. Batchelor MATH 03 E II BETA PRACTICE II KEY
хасах ба
A = √² x ³² cnx &
2
HINT: Perform a reversal of integration
and use integration by parts tabular.
A = [x² sin x + 2x cnx
= cox
2
U = x
Ha ===
u²= 2x_fv² = sin I
u" = 2₁+√√v² = - Cont
u""=0=[[v² = -Ain p
Continued
PRACTICE II
2 sin 2 + 4 cos 2
2 sin t
4 sin 2 + 4 cos 2 - 2 sin. 2
PAGE 10 of (14)
Learn integration
by Parts -Tabular
0
O
Transcribed Image Text:[10] (4) EVALUATE: y R = {(x, y) (0 5²5 $ $ $2} H a y R = +4 A = f*f* cosz drdy .. A = = [/ сых бу не 11 2: x= √7, 0≤ y ≤4 y = x², 0≤x≤2 2 {(0)| 055 $80} y x² 2 = 6²[+= 15²/4 0 2 = √√² x ² α Egl T. Batchelor MATH 03 E II BETA PRACTICE II KEY хасах ба A = √² x ³² cnx & 2 HINT: Perform a reversal of integration and use integration by parts tabular. A = [x² sin x + 2x cnx = cox 2 U = x Ha === u²= 2x_fv² = sin I u" = 2₁+√√v² = - Cont u""=0=[[v² = -Ain p Continued PRACTICE II 2 sin 2 + 4 cos 2 2 sin t 4 sin 2 + 4 cos 2 - 2 sin. 2 PAGE 10 of (14) Learn integration by Parts -Tabular 0 O
[10] (4)
EVALUATE:
∙e
A = - So
Lo
=
Inx
y² + 1
X
- dydx
HINT: Perform a reversal
of integration
Transcribed Image Text:[10] (4) EVALUATE: ∙e A = - So Lo = Inx y² + 1 X - dydx HINT: Perform a reversal of integration
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