Evaluate the Line Integral Along the Curve C A) $\frac { \pi } { 4 }$

question 134

Multiple Choice

Evaluate the line integral along the curve C.
- $$\begin{array} { l } \int _ { C } \frac { 1 } { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } d s , C \text { is the path given by: } \\C _ { 1 } : \mathbf { r } ( t ) = ( 2 \cos t ) \mathbf { i } + ( 2 \sin t ) \mathbf { j } \text { from } ( 2,0,0 ) \text { to } ( 0,2,0 ) \\C _ { 2 } : \mathbf { r } ( t ) = ( 2 \sin t ) \mathbf { j } + ( 2 \cos t ) \mathbf { k } \text { from } ( 0,2,0 ) \text { to } ( 0,0,2 ) \\C _ { 3 } : \mathbf { r } ( t ) = ( 2 \sin t ) \mathbf { i } + ( 2 \cos t ) \mathbf { k } \text { from } ( 0,0,2 ) \text { to } ( 2,0,0 ) \end{array}$$

• A) \(\frac { \pi } { 4 }\)
• B) \(- \frac { 3 } { 4 } \pi\)
• C) 0
• D) \(\frac { 3 } { 4 } \pi\)