Câu hỏi: Cho hàm số
A. 4 .
B.
C. -4 .
D.
A. 4 .
B.
C. -4 .
D.
Ta có
$
I=\int_0^2 f(x) \cdot g^{\prime}(x) \mathrm{d} x=\int_0^2 f(x) \mathrm{d} g(x)=\left.(f(x) \cdot g(x))\right|_0 ^2-\int_0^2 g(x) \cdot f^{\prime}(x) \mathrm{d} x=$$
-\int_0^2\left(x^2-2 x\right) \mathrm{e}^x \mathrm{~d} x=4
$
$
I=\int_0^2 f(x) \cdot g^{\prime}(x) \mathrm{d} x=\int_0^2 f(x) \mathrm{d} g(x)=\left.(f(x) \cdot g(x))\right|_0 ^2-\int_0^2 g(x) \cdot f^{\prime}(x) \mathrm{d} x=$$
-\int_0^2\left(x^2-2 x\right) \mathrm{e}^x \mathrm{~d} x=4
$
Đáp án A.