Evaluate the Double Integral $\iint _ { R } \frac { y } { ( x + Y ) ^ { 2 } } d A$

question 59

Multiple Choice

Evaluate the double integral $\iint _ { R } \frac { y } { ( x + Y ) ^ { 2 } } d A$ , where $R = \{ ( x , y ) \mid 1 \leq x \leq 2,1 \leq y \leq 2 \}$ .

• A) \(\frac { 9 } { 8 }\)
• B) \(\frac { 1 } { 2 }\)
• C) \(- \ln \frac { 1 } { 2 }\)
• D) \(\ln \frac { 9 } { 8 }\)
• E) \(\frac { 8 } { 9 }\)
• F) \(\frac { 3 } { 2 }\)
• G) \(\ln \frac { 3 } { 2 }\)
• H) \(\ln \frac { 8 } { 9 }\)

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