A.\(S = \left| {\int\limits_a^b {f\left( x \right)} {\rm{ dx}}} \right|\).
B.\(S = - \int\limits_a^0 {f\left( x \right){\rm{dx}}} - \int\limits_0^b {f\left( x \right)} {\rm{ dx}}\).
C.\(S = \int\limits_a^0 {f\left( x \right){\rm{dx}}} + \int\limits_0^b {f\left( x \right)} {\rm{ dx}}\).
D.\(S = \left| {\int\limits_a^0 {f\left( x \right){\rm{dx}}} } \right| + \left| {\int\limits_0^b {f\left( x \right)} {\rm{ dx}}} \right|\).