$g(t) =\int \limits_o^t \sin ^6 x .dx$ find $g(\pi+t)$

Question

$$\begin {array} {1 1} (a)\;g(t) +g(x) \\ (b)\;g(t)-g(x) \\ (c)\;\frac{g(t) +g(x)}{2} \\ (d)\;None \end {array}$$