Bài tập 66 trang 179 SGK Toán 12 NC

A. \(\int {0dx = C} \)      

B. \(\int {dx = C} \)

C. \(\int {dx}  = 0\)           

D. \(\int {0dx = x + C} \).

A. \(V = \pi \int\limits_a^b {|f(x)|\,dx} \).    

B. \(V = \int\limits_a^b {|f(x)|\,dx} \).

C. \(V = \pi \int\limits_a^b {{f^2}(x)} \,dx\).  

D. \(V = {\pi ^2}\int\limits_a^b {{f^2}(x)\,dx} \).

A. \(F(x) =  - 3\cos x + 2\ln |x| + C\).

 B. \(F(x) = 3\cos x + 2\ln |x| + C\).

C. \(F(x) =  - 3\cos x - 2\ln |x| + C\).  

D. \(F(x) = 3\cos x - 2\ln |x| + C\).

A. \(\left| {\int\limits_{ - 2}^1 {\left( {{x^3} - x} \right)\,dx} } \right|\).    

B. \(\int\limits_{ - 2}^1 {\left( {{x^3} - x} \right)\,dx} \).

C. \(\int\limits_{ - 1}^1 {|{x^3} - x|\,dx} \).  

D. \(\int\limits_{ - 2}^1 {|{x^3} - x|\,dx} \).

A.\(\int\limits_0^\pi  {\cos (3x + \pi )\,dx} \).    

B. \(3\int\limits_0^{3x} {\sin x\,dx} \)

C. \(\int\limits_0^2 {\left( {{x^2} + x - 3} \right)} \,dx\).

D. \(\int\limits_0^{\ln \sqrt {10} } {{e^{2x}}} \,dx\).

A. \(F(x) = 3(x - 3){e^{\dfrac{x}{3}}} + C\).   

B. \(F(x) = (x + 3){e^{\dfrac{x}{3}}} + C\).

C. \(F(x) = \dfrac{{x - 3}}{3}{e^{\dfrac{x}{3}}} + C\).    

D. \(F(x) = \dfrac{{x + 3}}{3}{e^{\dfrac{x}{3}}} + C\).

A. \(\dfrac{8}{3}\)      

B. \(\dfrac{7}{3}\)      

C. \(\dfrac{9}{2}\)   

D. \(\dfrac{{10}}{3}\)