Question

[Pham Trong Bach]

Cho hàm số f(x) thỏa mãn ${\int }_0^{\mathrm{\pi }}f\text{'}\left(x\right)dx=1, f\left(0\right)=\mathrm{\pi }$. Tính $f\left(\mathrm{\pi }\right)$

A. $f\left(\mathrm{\pi }\right)=1-\mathrm{\pi }$

B.  $f\left(\mathrm{\pi }\right)=\mathrm{\pi }-1$

C.  $f\left(\mathrm{\pi }\right)=\mathrm{\pi }+1$

D.  $f\left(\mathrm{\pi }\right)=-\mathrm{\pi }-1$

Answer 1

[Cao Minh Tâm]

Có  f ( π ) - f ( 0 ) = ∫ 0 π f ' ( x ) dx

f ( π ) = f ( 0 ) + ∫ 0 π f ' ( x ) dx = π + 1

Chọn đáp án C.