Bài tập 58 trang 177 SGK Toán 12 NC

A. \(\cot x - 2\tan x + C\).  

B. \( - \cot x + 2\tan x + C\).

C. \(\cot x + 2\tan x + C\).  

D. \( - \cot x - 2\tan x + C\)  

A. \(\dfrac{2}{9}{\left( {{x^3} + 5} \right)^{\dfrac{3}{2}}} + C\).  

B. \(\dfrac{2}{9}{\left( {{x^3} + 5} \right)^{\dfrac{2}{3}}} + C\).

C. \(2{\left( {{x^3} + 5} \right)^{\dfrac{3}{2}}} + C\). 

D. \(2{\left( {{x^3} + 5} \right)^{\dfrac{2}{3}}} + C\).

A. \(\dfrac{{2{\pi ^3}\sqrt 3 }}{{27}} + \dfrac{{{\pi ^2}}}{3} + 6 - 4\sqrt 3 \). 

B. \(\dfrac{{{\pi ^3}\sqrt 3 }}{{27}} + \dfrac{{{\pi ^2}}}{6} + 6 - 4\sqrt 3 \).

C. \(\dfrac{{2{\pi ^3}\sqrt 3 }}{{27}} + \dfrac{{{\pi ^2}}}{3} + 3 - 2\sqrt 3 \). 

D. 0.

A. \(I = \int\limits_1^0 {\left( {1 - u} \right)\,du} \)

B. \(I = \int\limits_0^1 {\left( {1 - u} \right){e^{ - u}}\,du} \).

C. \(I = \int\limits_1^0 {\left( {1 - u} \right)\,{e^{ - u}}du} \).

D. \(I = \int\limits_1^0 {\left( {1 - u} \right)\,{e^{2u}}du} \).

A. \(2\left( {{2^{\sqrt x }} - 1} \right) + C\).

B. \({2^{\sqrt x }} + C\).

C. \({2^{\sqrt x  + 1}}\).                    

D. \(2\left( {{2^{\sqrt x }} + 1} \right) + C\).

A. \(\left\{ \begin{array}{l}u = x\\dv = x\cos x\,dx\end{array} \right.\).   

B. \(\left\{ \begin{array}{l}u = {x^2}\\dv = \cos x\,dx\end{array} \right.\).

C. \(\left\{ \begin{array}{l}u = \cos x\\dv = {x^2}\,dx\end{array} \right.\). 

D. \(\left\{ \begin{array}{l}u = {x^2}\cos x\\dv = \,dx\end{array} \right.\)

A. 46        

B. 44  

C. 36 

D. 54