ĐGTD ĐH Bách khoa - Tư duy Toán học - Ứng dụng tích phân vào tính thể tích

$V=\pi \underset{a}{\overset{b}{\int }}\left|f\left(y\right)\right|dy$

$V=\underset{a}{\overset{b}{\int }}\left|f\left(x\right)\right|dx$

$V={\pi }^2\underset{a}{\overset{b}{\int }}{f}^2\left(x\right)dx$

$V=\pi \underset{a}{\overset{b}{\int }}{f}^2\left(y\right)dy$

$V=\pi \underset{a}{\overset{b}{\int }}\left|f\left(x\right)\right|dx$

$V=\underset{a}{\overset{b}{\int }}\left|f\left(x\right)\right|dx$

$V=\pi \underset{a}{\overset{b}{\int }}{f}^2\left(x\right)dx$

$V={\pi }^2\underset{a}{\overset{b}{\int }}{f}^2\left(x\right)dx$

$V=\pi \underset{a}{\overset{b}{\int }}\left(f_1^2\left(x\right)-f_2^2\left(x\right)\right)dx$

$V=\pi \underset{a}{\overset{b}{\int }}\left(f_1\left(x\right)-f_2\left(x\right)\right)dx$

$V=\underset{a}{\overset{b}{\int }}\left(f_1^2\left(x\right)-f_2^2\left(x\right)\right)dx$

$V=\pi \underset{a}{\overset{b}{\int }}{\left(f_1\left(x\right)-f_2\left(x\right)\right)}^{2}dx$

$V=32+2\sqrt{15}$

$V=\frac{124\pi }{3}$

$V=\frac{124}{3}$

$V=(32+2\sqrt{15})\pi$

T = 6

T = 9

T = 12

T = 3

$V=3.$

$V=\frac{\pi }{3}.$

$V=\pi .$

$V=3\pi .$

$V={\pi }^2\underset{0}{\overset{1}{\int }}{x}^{3}dx$

$V=\pi \underset{0}{\overset{1}{\int }}{x}^{3}dx$

$V=\pi \underset{0}{\overset{1}{\int }}{x}^{6}dx$

$V=\pi \underset{0}{\overset{1}{\int }}{x}^{5}dx$

$$V=4-2e$$

$$V=\left(4-2e\right)\pi$$

$$V=e^2-5$$

$$V=\left(e^2-5\right)\pi$$

$V=\pi \underset{0}{\overset{2}{\int }}(2-x)dx+\pi \underset{0}{\overset{2}{\int }}{x}^{2}dx$

$V=\pi \underset{0}{\overset{2}{\int }}(2-x)dx$

$V=\pi \underset{0}{\overset{1}{\int }}xdx+\pi \underset{1}{\overset{2}{\int }}\sqrt{2-x}dx$

$V=\pi \underset{0}{\overset{1}{\int }}{x}^{2}dx+\pi \underset{1}{\overset{2}{\int }}(2-x)dx$

$V=\underset{-2}{\overset{0}{\int }}4x^{4}dx$

$V=\underset{0}{\overset{-2}{\int }}2x^{2}dx$

$V=\underset{-2}{\overset{0}{\int }}2x^{2}dx$

$V=\pi \underset{-2}{\overset{0}{\int }}4x^{4}dx$

$V=36\pi .$

$V=24\pi .$

$V=16\pi .$

$V=64\pi .$

$V=\frac{7}{3}\pi .$

$V=\frac{8}{3}\pi .$

$V=\frac{10}{3}\pi .$

$V=\frac{16}{3}\pi .$

$\frac{4}{3}$

$\frac{2\sqrt{3}}{3}$

$\frac{2}{3}$

$\frac{\sqrt{6}}{3}$

$\frac{2}{5}\pi$

$\pi$

$\frac{1}{2}\pi$

$\frac{8}{15}\pi$

$\frac{81\pi }{35}$

$\frac{53\pi }{6}$

$\frac{81}{35}$

$\frac{21\pi }{5}$

$a=2\sqrt{2}$

$a=\frac{5}{2}$

a = 2

a = 3

T = 33

T = 31

T = 29

T = 27

$V=6{\pi }^2.$

$V=4{\pi }^2.$

$V=2{\pi }^2.$

$V=8{\pi }^2.$