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

question 81

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 $r ( t ) = ( 6 - t ) i - j + ( 6 - t ) k , 0 \leq t \leq 1$

• A) \(\frac { 31 } { 30 }\)
• B) \(\frac { 31 } { 15 }\)
• C) \(\frac { 31 } { 30 } \sqrt { 2 }\)
• D) \(\frac { 11 } { 6 } \sqrt { 2 }\)

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