Cho hàm số f(x) liên tục trên \(\left[ {a;b} \right],c \in \left( {a;b} \right)\). Khẳng định nào dưới đây sai?

A. \(\int\limits_a^b {f\left( x \right){\rm{d}}x}  =  - \int\limits_b^a {f\left( x \right){\rm{d}}x} \)

B. \(\int\limits_a^c {f\left( x \right){\rm{d}}x}  + \int\limits_c^b {f\left( x \right){\rm{d}}x}  = \int\limits_a^b {f\left( x \right){\rm{d}}x} \)

C. \(\int\limits_a^b {\left[ {f\left( x \right).g(x)} \right]{\rm{d}}x}  = \left( {\int\limits_a^b {f\left( x \right){\rm{d}}x} } \right).\left( {\int\limits_a^b {g\left( x \right){\rm{d}}x} } \right)\)

D. \(\int\limits_a^b {\left[ {f\left( x \right) + g\left( x \right)} \right]{\rm{d}}x}  = \int\limits_a^b {f\left( x \right){\rm{d}}x}  + \int\limits_a^b {g\left( x \right){\rm{d}}x} \)