Find $\int _ { C } \vec { F } \cdot d \vec { r }$

Multiple Choice

Find $\int _ { C } \vec { F } \cdot d \vec { r }$ of the function over the given curve: $\vec { F } ( x , y ) = \langle 1 , x , 1 \rangle$ and the curve C is given by $\vec { r } ( t ) = \langle \cos ( t ) , \sin ( t ) , t \rangle , 0 \leq t \leq \frac { \pi } { 2 }$

A) $\frac { 3 \pi } { 4 } - 1$
B) $\frac { 3 \pi } { 4 }$
C) $\frac { \pi } { 4 } - 1$
D) $\frac { 3 \pi } { 4 } - \frac { 3 } { 2 }$