Find the exact value of the following double integrals: a. S² S/² √ysin(y) dydx Ꮭ Hint: Switch order of integration and determine new bounds. b. p²v² Sy 2√2 16-² 1 ( VITET) dady 1+x²+y² Hint: Use polar coordinates and determine region of integration.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the exact value of the following
double integrals:
a.
S² S/² √ysin(y) dydx
Ꮭ
Hint: Switch order of
integration and determine new
bounds.
b.
1
√²/² √√/¹6-1² (√2+7²+²) dedy
Sy
.2
Hint: Use polar coordinates
and determine region of integration.
Transcribed Image Text:Find the exact value of the following double integrals: a. S² S/² √ysin(y) dydx Ꮭ Hint: Switch order of integration and determine new bounds. b. 1 √²/² √√/¹6-1² (√2+7²+²) dedy Sy .2 Hint: Use polar coordinates and determine region of integration.
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