Cho \(\int\limits_0^{\rm{\pi }} {{\rm{f}}({\rm{x}}...

Câu hỏi: Cho \(\int\limits_0^{\rm{\pi }} {{\rm{f}}({\rm{x}}){\rm{dx}} = 2} \) và \(\int\limits_0^{\rm{\pi }} {{\rm{g}}({\rm{x}}){\rm{dx}} =  - 1} \). Tính \({\rm{I}} = \int\limits_0^{\rm{\pi }} {\left( {{\rm{2f}}({\rm{x}}) + {\rm{x}}.\sin \,{\rm{x}} - 3{\rm{g}}({\rm{x}})} \right){\rm{dx}}} \)

A. \({\rm{I}} = 7 + {\rm{\pi }}\)

B. \({\rm{I}} = 7 + 4{\rm{\pi }}\)

C. \({\rm{I}} = {\rm{\pi }} - 1\)

D. \({\rm{I}} = {\rm{7}} + \frac{{\rm{\pi }}}{4}\)