Question

can someone explain how i would go about this?

Answer 1

\[\Large\rm \int\limits_{-5}^4f=\int\limits_{-5}^{-2}f~+~\int\limits_{-2}^{1}f~+~\int\limits_1^4f\]If you break up that interval into three pieces, it would look something like this, yes?

Answer 2

one approach
@zepdrix will continue