Evaluate the Double Integral $\iint _ { R } x d A$

question 110

Multiple Choice

Evaluate the double integral $\iint _ { R } x d A$ , where $R = \left\{ ( x , y ) \mid 0 \leq x \leq 2 , \frac { 1 } { 2 } x \leq y \leq 3 - x \right\}$ .

• A) \(\frac { 2 } { 3 }\)
• B) \(\frac { 4 } { 3 }\)
• C)2
• D) \(\frac { 8 } { 3 }\)
• E) \(\frac { 10 } { 3 }\)
• F)4
• G) \(\frac { 14 } { 3 }\)
• H) \(\frac { 16 } { 3 }\)

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