Evaluate $\int _ { c } x y ^ { 2 } d s$

question 187

Multiple Choice

Evaluate $\int _ { c } x y ^ { 2 } d s$ where the $C$ is given by $C : x = 2 \cos t , \quad y = 2 \sin t , z = \sqrt { 5 t } , 0 \leq t \leq \frac { \pi } { 2 }$ .

• A) \(8\)
• B) 9
• C) \(6\)
• D) \(6 \pi\)
• E) \(\frac { 8 } { 3 }\)
• F) \(4\)
• G) \(24\)
• H) \(0\)

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