A.\(F\left( t \right) =  - 9\cot t - \dfrac{{9{t^2}}}{2} + C\)
B.\(F\left( t \right) =  - 9\cot t - 9t + C\)
C.\(F\left( t \right) = \cot t + \dfrac{{{t^2}}}{2} + C\) 
D.\(F\left( t \right) =  - \cot t - t + C\)