Evaluate the Line Integral Along the Curve C $\int _ { C } \left( \frac { x ^ { 2 } + y ^ { 2 } } { z ^ { 2 } } \right) d s , C$

question 218

Multiple Choice

Evaluate the line integral along the curve C.
- $\int _ { C } \left( \frac { x ^ { 2 } + y ^ { 2 } } { z ^ { 2 } } \right) d s , C$ is the curve $r ( t ) = ( 2 \sin 6 t ) i + ( 2 \cos 6 t ) j + 5 t k , 2 \leq t \leq 4$

• A) \(- \frac { 91 } { 400 }\)
• B) \(\frac { 13 } { 25 }\)
• C) \(\frac { 169 } { 25 }\)
• D) \(\frac { 1 } { 25 }\)

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