Đề thi Giữa kì 2 Toán 12 năm 2024-2025 trường THPT Thanh Hòa (Bình Phước)

2.

-4.

4.

6.

$x=0$ .

$z=0$ .

$y=0$ .

$x+y+z=0$ .

$2x+C$ .

$x^3+C$ .

$\dfrac{1}{3}x^3+C$ .

$3x^3+C$

$\int \dfrac{\mathrm{d}x}{x}=\ln|x|+C$.

$\int \sin x\mathrm{d}x=\cos x+C$.

$\int x^{\alpha}\mathrm{d}x=\dfrac{x^{\alpha +1}}{\alpha+1}+C\quad (\alpha \neq -1)$

$\int e^x\mathrm{d}x=e^x+C$ .

$\overrightarrow{n_2}=(2;0;0)$.

$\overrightarrow{n_4}=(2;1;-2)$.

$\overrightarrow{n_4}=(2;1;-1)$.

$\overrightarrow{n_1}=(2;1;1)$

$I=11$ .

$I=-11$ .

$I=5$ .

$I=77$ .

$f(x)=2x$

$f(x)=2x+1$

$f(x)=\dfrac{1}{3}x^3+C$

$f(x)=\dfrac{1}{3}x^3$

0.

$e$.

1.

2.

$\int f(x).g(x)dx=\int f(x)dx.\int g(x)dx$

$\int \left[f(x)+g(x)\right]dx=\int f(x)dx+\int g(x)dx$

$\int kf(x)dx= k\int f(x)dx$ với mọi hằng số $k\in R\backslash \{0\}$.

$\int \left[f(x)-g(x)\right]dx=\int f(x)dx-\int g(x)dx$