Find the Work Done by F Over the Curve in the Direction

Multiple Choice

Find the work done by F over the curve in the direction of increasing t.
- $$\mathbf { F } = \mathrm { ti } + \frac { 1 } { 2 } \mathrm { j } + \mathbf { k } ; \mathrm { C } : \mathbf { r } ( \mathrm { t } ) = \mathrm { e } ^ { 2 } \mathrm { t } _ { \mathbf { i } } + \mathrm { e } ^ { 2 } \mathrm { t } \mathbf { j } + \left( - 7 \mathrm { t } ^ { 2 } + \mathrm { t } \right) \mathbf { k } , - 1 \leq \mathrm { t } \leq 1$$

A) $W = e ^ { 2 } + e ^ { - 2 } - 12$
B) $\mathrm { W } = \mathrm { e } ^ { 2 } + \mathrm { e } ^ { - 2 } + 2$
C) $W = - 12$
D) $W = 2$