exerccio 2 de VGA- 28/04/2015

Professor: Rafael Kapp

Nome:

1. Calcule as integrais improprias[0,)2

exydxdy

[0,)2x2ex

2y2dxdy

R2

x4ex2y2dxdy

x2+y21

dxdy

(x2 + y2)5/3[0,1][0,1]

dxdy|x y|D

ex/ydxdy com 0 x y2, 0 y 1.

2. Demonstre a convergencia de cada integral impropria abaixo.

R2

x2/3 sin2(y)

(x2 + y2 + 1)2dxdy

R2

e3x2y2

(x2 + 3y2)5/6dxdy