Calculate $\int _ { C } ( 5 x \vec { i } + 3 y \vec { j } ) \cdot \vec { d A }$

question 34

Multiple Choice

Calculate $\int _ { C } ( 5 x \vec { i } + 3 y \vec { j } ) \cdot \vec { d A }$ where C is a cylinder of radius R with 0 $\le$ z $\le$ 1.

• A) \(8 \pi R ^ { 4 }\)
• B) \(2 \pi R ^ { 3 }\)
• C) \(8 \pi R ^ { 2 }\)
• D) \(8 \pi R ^ { 3 }\)
• E) \(8 R ^ { 3 }\)

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