Trắc nghiệm Toán học 12 Kết nối bài 13: Ứng dụng hình học của tích phân

A $1$ B $e - 1$ C $e$ D $2$

A $\frac{15\pi}{2}$ B $\frac{17\pi}{2}$ C $15\pi$ D $7\pi$

A $\frac{1}{4}$ B $\frac{1}{2}$ C 1 D 2

A $\frac{7\pi}{3}$ B $\frac{8\pi}{3}$ C $3\pi$ D $\frac{7}{3}$

A $\frac{\pi(e^2 - 1)}{2}$ B $\pi(e^2 - 1)$ C $\frac{e^2 - 1}{2}$ D $\frac{\pi e^2}{2}$

A 0 B 1 C 2 D $\pi$

A $V = \pi r^2 h$ B $V = \frac{1}{3} \pi r^2 h$ C $V = \frac{4}{3} \pi r^2 h$ D $V = \frac{1}{2} \pi r^2 h$

A $V = \int_{a}^{b} S(x) dx$ B $V = \pi \int_{a}^{b} S(x) dx$ C $V = \pi \int_{a}^{b} S^2(x) dx$ D $V = \int_{a}^{b} S^2(x) dx$

A $\frac{\pi}{4}$ B $\frac{\pi^2}{4}$ C $\frac{\pi^2}{2}$ D $\frac{\pi}{2}$

A $\frac{2}{3}$ B $\frac{4}{3}$ C $\frac{8}{3}$ D 2

A 3 B 9 C 27 D 81

A $\frac{4}{3}$ B $\frac{8}{3}$ C $2$ D $\frac{16}{3}$

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 $V = \int_{a}^{b} f^2(x) dx$ B $V = \pi \int_{a}^{b} f(x) dx$ C $V = \pi^2 \int_{a}^{b} f^2(x) dx$ D $V = \pi \int_{a}^{b} f^2(x) dx$

A $S = \int_{a}^{b} (f(x) - g(x)) dx$ B $S = \int_{a}^{b} |f(x) - g(x)| dx$ C $S = \pi \int_{a}^{b} |f(x) - g(x)| dx$ D $S = |\int_{a}^{b} (f(x) - g(x)) dx|$