$\int_{-1}^{10}sgn(x-[x])dx$ equals (where [.] denotes greatest integer function):

10 11 9 11/12

11

$\int\limits_{-1}^{10}sgn(\{x\})dx=11\int\limits_{0}^{1}sgn(\{x\})dx=11\int\limits_{0}^{1}1dx=11$