Cho

D

- Hướng dẫn giải

Đáp án D

Ta có $I={\int }_0^{\frac{\mathrm{\pi }}{2}}\left[f\left(x\right)+2\sin \left(x\right)\right]dx={\int }_0^{\frac{\mathrm{\pi }}{2}}f\left(x\right)dx+2{\int }_0^{\frac{\mathrm{\pi }}{2}}\sin \left(x\right)dx={\int }_0^{\frac{\mathrm{\pi }}{2}}f\left(x\right)dx-2{\overline{)\cos \left(x\right)}}_0^{\frac{\mathrm{\pi }}{2}}=5+2=7$