Cho 3 ∫ 0 f ( x ) d x = 5 3 ; 4 ∫ 0 f ( x ) d x = 3/5 . Tích phân 4 ∫ 3 f ( x ) d x bằng

2/22

cho \(\int\limits_0^3 {f\left( x \right){\rm{d}}x = \frac{5}{3}} \); \(\int\limits_0^4 {f\left( x \right){\rm{d}}x = \frac{3}{5}} \). Tích phân \(\int\limits_3^4 {f\left( x \right){\rm{d}}x} \) bằng

\(\frac{{ - 16}}{{15}}\).

\(\frac{{14}}{{15}}\).

\( - \frac{{17}}{{15}}\).

\(\frac{8}{{15}}\).

Giải thích

Đáp án đúng là: A

Ta có: \[\int\limits_0^3 {f\left( x \right){\rm{d}}x + } \,\int\limits_3^4 {f\left( x \right){\rm{d}}x = \int\limits_0^4 {f\left( x \right){\rm{d}}x \Rightarrow } } \int\limits_3^4 {f\left( x \right){\rm{d}}x = - \frac{{16}}{{15}}} \].