Trắc nghiệm Toán học 12 Kết nối bài 12: Tích phân

A $\int_a^b f(x) dx = F(a) - F(b)$ B $\int_a^b f(x) dx = F(b) - F(a)$ C $\int_a^b f(x) dx = F(b) + F(a)$ D $\int_a^b f(x) dx = f(b) - f(a)$

A $I = \ln 2$ B $I = 1$ C $I = e^2 - e$ D $I = \ln \frac{1}{2}$

A $I = 7$ B $I = 1$ C $I = 12$ D $I = -1$

A $\frac{x^5}{5} + C$ B $4x^3 + C$ C $x^5 + C$ D $\frac{x^4}{4} + C$

A $I = 3e^{3x} + C$ B $I = \frac{1}{3} e^{3x} + C$ C $I = e^{3x} + C$ D $I = \frac{e^{3x+1}}{3x+1} + C$

A $3$ B $7$ C $10$ D $-3$

A $J = 12$ B $J = 3$ C $J = 8$ D $J = 36$

A $S = \int_a^b f(x) dx$ B $S = \pi \int_a^b f^2(x) dx$ C $S = \int_a^b |f(x)| dx$ D $S = |\int_a^b f(x) dx|$

A $\cos x + C$ B $-\cos x + C$ C $\sin x + C$ D $-\sin x + C$

A $\int u dv = uv - \int v du$ B $\int u dv = uv + \int v du$ C $\int u dv = v du - uv$ D $\int u dv = uv - \int u du$

A $\frac{π^x}{\ln π} + C$ B $π^x \ln π + C$ C $π^{x+1} + C$ D $\frac{π^{x+1}}{x+1} + C$

A $\int [f(x) + g(x)] dx = \int f(x) dx + \int g(x) dx$ B $\int kf(x) dx = k \int f(x) dx$ C $\int [f(x) - g(x)] dx = \int f(x) dx - \int g(x) dx$ D $\int f(x)g(x) dx = \int f(x) dx \cdot \int g(x) dx$

A $I = 1$ B $I = 0$ C $I = -1$ D $I = \pi/2$

A $F'(x) = f(x), \forall x \in K$ B $f'(x) = F(x), \forall x \in K$ C $F(x) = f(x), \forall x \in K$ D $F'(x) = f'(x), \forall x \in K$

A $V = \int_a^b f^2(x) dx$ B $V = \pi \int_a^b f(x) dx$ C $V = \pi \int_a^b f^2(x) dx$ D $V = \pi^2 \int_a^b f^2(x) dx$