Đề thi Giữa kì 2 Toán 12 năm 2024-2025 trường THPT Trần Cao Vân (Khánh Hòa)

$\vec{n} = (-1;-3;5)$

$\vec{n} = (2;6;-10)$

$\vec{n} = (-3;-9;15)$

$\vec{n} = (-2;-6;-10)$

$e^{x}+\sin x+C$

$\dfrac{e^{x+1}}{x+1}+\sin x+C$

$e^{x}-\sin x+C$

$\dfrac{e^{x+1}}{x+1}-\sin x+C$

$S=\displaystyle\int_{a}^{b}f\left(x\right)dx$

$S=\displaystyle\int\left|f\left(x\right)\right|dx$

$S=\displaystyle\int_{b}^{a}f\left(x\right)dx$

$S=\left|\displaystyle\int_{a}^{b}f\left(x\right)dx\right|$

$\displaystyle\int dx = x + C$

$\displaystyle\int 0dx = C$

$\displaystyle\int \dfrac{1}{x} dx = -\dfrac{1}{x^2} + C$

$\displaystyle\int x^{\alpha} dx = \dfrac{x^{\alpha+1}}{\alpha+1} + C (\alpha \neq -1)$

$F\left(x\right) = \dfrac{x^4}{4} + \dfrac{x^3}{2} + C$

$F\left(x\right) = \dfrac{x^4}{4} + \dfrac{x^2}{2} + x + C$

$F\left(x\right) = x^4 + \dfrac{x^3}{2} + x + C$

$F\left(x\right) = 3x^3 + C$

$\left(P\right)$ và $\left(Q\right)$ trùng nhau.

$\left(P\right)$ vuông góc với $\left(Q\right)$

$\left(P\right)$ song song với $\left(Q\right)$

$\left(P\right)$ và $\left(Q\right)$ cắt nhau nhưng không vuông góc.

$\dfrac{\pi}{3}$

$\pi$

$\sqrt{\pi}$

$\dfrac{\pi}{2}$

$\displaystyle \int_a^b kf(x)\,dx = k \int_a^b f(x)\,dx$

$\displaystyle \int_a^b \left[f(x)+g(x)\right]dx = \int_a^b f(x)\,dx + \int_a^b g(x)\,dx$

$\displaystyle \int_a^b f(x)\,dx = - \int_b^a f(x)\,dx$

$\displaystyle \int_a^b xf(x)\,dx = x \int_a^b f(x)\,dx$

$S = \dfrac{39}{4}$

$S = \dfrac{31}{4}$

$S = \dfrac{49}{4}$

$S = \dfrac{21}{4}$