\[\forall ({{\rm{x}}_{\rm{1}}}{\rm{, }}{{\rm{y}}_{\rm{1}}}{\rm{), (}}{{\rm{x}}_{\rm{2}}}{\rm{, }}{{\rm{y}}_{\rm{2}}}) \in \]dạng song tuyến tính η nào sau đây của không gian véc tơ R² là một tích vô hướng:

A. \[\frac{1}{{4028}}{(1 + 2{\rm{x)}}^{{\rm{2013}}}}{\rm{ + C}}\]

B. \[\frac{1}{2}{(1 + 2{\rm{x)}}^{{\rm{2013}}}}{\rm{ + C}}\]

C. \[\frac{1}{{4024}}{(1 + 2{\rm{x)}}^{{\rm{2013}}}}{\rm{ + C}}\]

D. \[\frac{1}{{2013}}{(1 + 2{\rm{x)}}^{{\rm{2013}}}}{\rm{ + C}}\]

A. \[\frac{{{{\ln }^3}{\rm{x}} - 2\ln {\rm{x}} + 1}}{{{{\rm{x}}^2}}} + {\rm{C}}\]

B. \[{(\ln {\rm{x}} - 1)^7} + {\rm{C}}\]

C. \[{\ln ^3}{\rm{x}} - 2\ln {\rm{x}} + 1 + {\rm{C}}]\]

A. \[{{\rm{x}}_1} = - 1 - 8{{\rm{x}}_4},{{\rm{x}}_3} = 0,{{\rm{x}}_2} = 1 + 2{{\rm{x}}_4}\]

B. \[{{\rm{x}}_1} = - 1 - 8{{\rm{x}}_4},{{\rm{x}}_3} = 1,{{\rm{x}}_2} = 1 + 2{{\rm{x}}_4}\]

C. \[{{\rm{x}}_1} = - 1 - 8{{\rm{x}}_1},{{\rm{x}}_3} = 1,{{\rm{x}}_2} = 1 + 2{{\rm{x}}_1}\]

D. \[{{\rm{x}}_1} = - 1 - 8{{\rm{x}}_1} + 2{{\rm{x}}_2},{{\rm{x}}_4} = 1 + 2{{\rm{x}}_1} - 5{{\rm{x}}_2}\]

A. 2ln2

B. 2ln3

C. -1

D. 1

A. \[\frac{3}{5}\sqrt[{\rm{3}}]{{{\rm{5x + 3}}}}{\rm{ + C}}\]

B. \[ - \frac{3}{2}\sqrt[{\rm{3}}]{{{\rm{2x + 3}}}}{\rm{ + C}}\]

C. \[\sqrt[{\rm{3}}]{{{\rm{2x + 3}}}}{\rm{ + C}}\]

D. \[\frac{1}{2}\sqrt[{\rm{3}}]{{{\rm{5x + 3}}}}{\rm{ + C}}\]

A. \[\frac{{\rm{\pi }}}{{\rm{8}}}\]

B. \( - \frac{{\rm{\pi }}}{{\rm{8}}}\)

C. \(\frac{\pi }{2}\)

D. 1