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Evaluate the Double Integral R(x+siny)dA\iint _ { R } ( x + \sin y ) d A

Question 28

Multiple Choice

Evaluate the double integral R(x+siny) dA\iint _ { R } ( x + \sin y ) d A , where R={(x,y) 0x2,0yπ}R = \{ ( x , y ) \mid 0 \leq x \leq 2,0 \leq y \leq \pi \} .


A) 2+π2 + \pi

B) 4+π4 + \pi
C) (2+π) /2( 2 + \pi ) / 2
D) 4+2π4 + 2 \pi
E) 2π- 2 - \pi
F) 4π- 4 - \pi


G) (2+π) /2- ( 2 + \pi ) / 2

H) (4+π) /2- ( 4 + \pi ) / 2

Correct Answer:

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