Cho tích phân 0^2 f( x )dx = 3,tích phân 0^2 g( x )dx = - 1 thì tích phân 0^2 [ f( x ) - 5g( x ) + x]dx

4/30

Cho \(\int\limits_0^2 {f\left( x \right){\rm{d}}x} = 3\),\(\int\limits_0^2 {g\left( x \right){\rm{d}}x} = - 1\) thì \(\int\limits_0^2 {\left[ {f\left( x \right) - 5g\left( x \right) + x} \right]{\rm{d}}x} \) bằng:

\[12\].

\[0\].

\[8\].

\[10\]

Giải thích

Chọn D

\[\int\limits_0^2 {\left[ {f\left( x \right) - 5g\left( x \right) + x} \right]{\rm{d}}x} = \int\limits_0^2 {f\left( x \right)dx - 5\int\limits_0^2 {{\rm{g}}\left( x \right){\rm{d}}x + \int\limits_0^2 {x{\rm{d}}x} } } \]\[ = 3 + 5 + 2 = 10\]