125 câu trắc nghiệm tổng hợp Toán cao cấp A1 có đáp án - Phần 1

A. \[\frac{{\rm{2}}}{{\rm{3}}}{\rm{co}}{{\rm{s}}^{\rm{3}}}{\rm{x + cosx + C}}\]

B. \[ - \frac{1}{6}\cos 3{\rm{x}} + \frac{1}{2}\cos {\rm{x}} + C\]

C. \[ - \frac{2}{3}{\sin ^3}{\rm{x}} + \sin {\rm{x}} + {\rm{C}}\]

D. Đáp án B và C đều đúng

A. \[\frac{1}{{4028}}{(1 + 2{\rm{x}})^{2014}} + {\rm{C}}\]

B. \[\frac{1}{2}{(1 + 2{\rm{x}})^{2014}} + {\rm{C}}\]

C. \[\frac{1}{{4024}}{(1 + 2{\rm{x}})^{2014}} + {\rm{C}}\]

D. \[\frac{1}{{2013}}{(1 + 2{\rm{x}})^{2014}} + {\rm{C}}\]

A. \[\frac{1}{2}\cos \left( {\frac{{\rm{\pi }}}{3} - \frac{{\rm{x}}}{2}} \right) + {\rm{C}}\]

B. \[4\cos \left( {\frac{{\rm{\pi }}}{3} - \frac{{\rm{x}}}{4}} \right) + {\rm{C}}\]

C. \[2\sin \left( {\frac{{\rm{\pi }}}{3} - \frac{{\rm{x}}}{2}} \right) + {\rm{C}}\]

D. \(\frac{1}{2}\sin \left( {\frac{{\rm{\pi }}}{3} - \frac{{\rm{x}}}{2}} \right) + {\rm{C}}\)

A. \[ - \frac{1}{3}\ln \left| {\cos 3{\rm{x}}} \right| + {\rm{C}}\]

B. \[\frac{1}{3}\ln \left| {\cos 5{\rm{x}}} \right| + {\rm{C}}\]

C. \[ - \frac{1}{3}\ln \left| {\sin 3{\rm{x}}} \right| + {\rm{C}}\]

D. \[\frac{1}{5}\ln \left| {\sin 5{\rm{x}}} \right| + {\rm{C}}\]

A. \[\ln \left| {{\rm{x}} - 2} \right| - \ln \left| {{\rm{x}} - 4} \right| + {\rm{C}}\]

B. \[\ln \left| {{\rm{x}} - 5} \right| - \ln \left| {{\rm{x}} - 2} \right| + {\rm{C}}\]

C. \[\frac{{\ln \left| {{\rm{x}} - 5} \right|}}{{\ln \left| {{\rm{x}} - 2} \right|}} + {\rm{C}}\]

D. \[\ln \left| {({\rm{x}} - 4)({\rm{x}} - 2)} \right| + {\rm{C}}\]

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

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

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

B. \[ - \frac{3}{2}\sqrt[3]{{5{\rm{x}} + 3}} + {\rm{C}}\]

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

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

A. \[\frac{1}{3}\cot ( - 3{\rm{x}} + 1) + {\rm{C}}\]

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

C. \[ - \frac{1}{3}\cot ( - 3{\rm{x}} + 1) + {\rm{C}}\]

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

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

B. \[ - \frac{{\rm{2}}}{{{{\rm{e}}^{\rm{x}}} - {\rm{1}}}}{\rm{ + C}}\]

C. \[ - \frac{{{{{\rm{(}}{{\rm{e}}^{\rm{x}}} - {\rm{1)}}}^{\rm{3}}}}}{{\rm{3}}}{\rm{ + C}}\]

D. \[\frac{{{{{\rm{(}}{{\rm{e}}^{\rm{x}}} - {\rm{1)}}}^{\rm{3}}}}}{{\rm{3}}}{\rm{ + C}}\]

A. 2

B. \[{{\rm{e}}^2} - 1\]

C. \[2{{\rm{e}}^2} + 2\]

D. e

A. \(\frac{\pi }{8}\)

B. \( - \frac{\pi }{4}\)\(\frac{\pi }{2}\)

C. 1

A. \(\frac{{3\pi }}{2}\)

B. \(\frac{\pi }{4}\)

C. 1

D. 0

A. 2ln2

B. 2ln3

C. -1

D. 1

A. 1

B. \[\ln (1 + \sqrt 2 )\]

C. \[ - \ln (1 + \sqrt 2 )\]

D. 0

A. \[3({\rm{ln}}4 - {\rm{ln}}3)\]

B. \[({\rm{ln}}4 + {\rm{ln}}3)\]

C. \[({\rm{ln}}12 - {\rm{ln}}9)\]

D. \[ - {\rm{ln}}4 - {\rm{ln}}3\]

A. \[\frac{1}{{16}}(\ln 5 - \ln 3)\]

B. \[\frac{1}{4}(\ln 5 - \ln 3)\]

C. \[\frac{1}{8}(\ln 5 + \ln 3)\]

D. \[\frac{1}{4}(\ln 5 + \ln 3)\]

A. ln 2

B. 4 ln 4

C. 7 ln 2

D. 4 ln 2

A. \[\frac{{40}}{3}\]

B. \[\frac{{14}}{3}\]

C. \[\frac{{32}}{3}\]

D. \[\frac{{20}}{3}\]

A. \[\frac{1}{{12}}\]

B. \[\frac{1}{3}\]

C. \[\frac{1}{4}\]

D. \[\frac{7}{{12}}\]

A. 2

B. 1

C. \[\frac{1}{2}\]

D. \[\frac{3}{2}\]