Evaluate $\int _ { C } 15 x ^ { 2 } y z d s$

question 95

Multiple Choice

Evaluate $\int _ { C } 15 x ^ { 2 } y z d s$ where the $C$ is given by $C : x = t , y = t ^ { 2 } , \quad z = \frac { 2 } { 3 } t ^ { 3 } , \quad 0 \leq t \leq 1$ .

• A) \(\frac { 13 } { 6 }\)
• B) \(\frac { 13 } { 20 }\)
• C)\(6 \sqrt { 3 }\)
• D) \(\frac { 13 } { 4 }\)
• E) \(\frac { 8 } { 3 }\)
• F)\(4\)
• G) \(4 \sqrt { 2 }\)
• H) \(0\)

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