Bài tập 48 trang 176 SGK Toán 12 NC

A. \(\cos \left( {\dfrac{\pi }{3} - 2x} \right) + C\). 

B. \( - \dfrac{1}{2}\cos \left( {\dfrac{\pi }{3} - 2x} \right) + C\).

C. \(\dfrac{1}{2}\cos \left( {\dfrac{\pi }{3} - 2x} \right) + C\).

D. \( - \cos \left( {\dfrac{\pi }{3} - 2x} \right) + C\).

A. \({x^2}\left( {1 + \dfrac{3}{4}{x^2}} \right) + C\).  

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

C. \({x^2}\left( {2 + 6x} \right) + C\).         

D. \({x^2} + \dfrac{3}{4}{x^4}\).

A. \(e + \dfrac{1}{e} - 2\)

B. 0

C. \(2\left( {e + \dfrac{1}{e} - 2} \right)\).      

D. \(e + \dfrac{1}{e}\).

A. \(I =  - \dfrac{1}{5}\cos 5x + C\). 

B. \(I = \dfrac{1}{5}\cos 5x + C\).

C. \(I =  - \dfrac{1}{8}\cos 4x - \dfrac{1}{{12}}\cos 6x + C\).  

D. \(I = \dfrac{1}{8}\cos 4x + \dfrac{1}{{12}}\cos 6x + C\).

A. \(\dfrac{3}{2}\)                             

B. \( - \dfrac{3}{2}\)

C. \(\dfrac{5}{2}\)                               

D. \( - \dfrac{5}{2}\)          

A. \(\dfrac{9}{2}\).                           

B. 3 

C. \(\dfrac{9}{4}\)                              

D. \(\dfrac{7}{2}\).

A. \(f(x) = {x^3} - 2\sqrt x  - \dfrac{1}{x} - x\).

B. \(f(x) = {x^3} - \sqrt x  - \dfrac{1}{{\sqrt x }} - x\).

C. \(f(x) = {x^3} - 2\sqrt x  + \dfrac{1}{x}\).

D. \(f(x{x^3} - \dfrac{1}{2}\sqrt x  - \dfrac{1}{x} - x\).