Cho  hàm

C

- Hướng dẫn giải

Đáp án C.

Đặt $\left\{\begin{array}{l}u=e^x\\ dv=f\text{'}\left(x\right)dx\end{array}\right.\iff \left\{\begin{array}{l}du=e^{x}dx\\ v=f\left(x\right)\end{array}\right.$ suy ra ${\int }_0^1{e}^x.f\text{'}\left(x\right)dx=e^x.{\overline{)f\left(x\right)}}_0^1-{\int }_0^1{e}^x.f\left(x\right)dx$

$\iff {\int }_0^1{e}^x.f\text{'}\left(x\right)dx+{\int }_0^1{e}^x.f\left(x\right)dx=e.f\left(1\right)-f\left(0\right)\iff ae+b=e-1\Rightarrow \left\{\begin{array}{l}a=1\\ b=-1\end{array}\right..$

 Vậy $Q=0$