$\int_{-1}^{10}sgn(x-[x])dx$ equals (where [.] denotes greatest integer function):
Answer & explanation
Correct answer: option 2
$\int\limits_{-1}^{10}sgn(\{x\})dx=11\int\limits_{0}^{1}sgn(\{x\})dx=11\int\limits_{0}^{1}1dx=11$
$\int_{-1}^{10}sgn(x-[x])dx$ equals (where [.] denotes greatest integer function):
Correct answer: option 2
$\int\limits_{-1}^{10}sgn(\{x\})dx=11\int\limits_{0}^{1}sgn(\{x\})dx=11\int\limits_{0}^{1}1dx=11$