Bài tập 52 trang 177 SGK Toán 12 NC

A. \(I = \dfrac{1}{2}\).    

B. \(I = \dfrac{{3{e^2} + 1}}{4}\).

C. \(I = \dfrac{{{e^2} + 1}}{4}\).    

D. \(I = \dfrac{{{e^2} - 1}}{4}\).

A. \(\left\{ \begin{array}{l}A =  - 2\\B =  - \dfrac{2}{\pi }\end{array} \right.\).  

B. \(\left\{ \begin{array}{l}A = 2\\B =  - \dfrac{2}{\pi }\end{array} \right.\).

C. \(\left\{ \begin{array}{l}A =  - 2\\B = \dfrac{2}{\pi }\end{array} \right.\).   

D. \(\left\{ \begin{array}{l}B = 2\\A =  - \dfrac{2}{\pi }\end{array} \right.\)

A. \(I = \int\limits_{\dfrac{1}{2}}^1 {\dfrac{{2t}}{{1 + 1}}\,dt} \).  

B. \(I = \int\limits_{\dfrac{0}{2}}^{\dfrac{x}{4}} {\dfrac{{2t}}{{1 + 1}}\,dt} \).

C. \(I =  - \int\limits_{\dfrac{1}{2}}^1 {\dfrac{{2t}}{{1 + 1}}\,dt} \).    

D. \(I =  - \int\limits_{\dfrac{0}{2}}^{\dfrac{x}{4}} {\dfrac{{2t}}{{1 + 1}}\,dt} \).

A. \(\int\limits_a^b {f(x)\,dx = \int\limits_b^a {f(x)\,dx} } \).

B. \(\int\limits_a^b {k.dx = k\left( {b - a} \right),\,\forall k \in R} \).

C. \(\int\limits_a^b {f(x)\,dx =  - \int\limits_b^a {f(x)\,dx} } \)

D. \(\int\limits_a^b {f(x)\,dx = \int\limits_a^c {f(x)\,dx + \int\limits_c^b {f(x)\,dx\,,\,\,\,c \in [a;b]} } } \)

A. 24                              

B. – 7  

C. – 4                             

D. 8 

A. \(\int\limits_a^b {\left| {f(a)} \right|\,dx} \).   

B. \( - \int\limits_a^b {f(x)\,dx} \).

C. \(\int\limits_b^a {f(x)\,dx} \).            

D. \(\int\limits_a^b {f(x)\,dx} \).

A. 6                           

B 46  

C. 26                           

D. 12