A.\(\smallint f\left( x \right)dx = \dfrac{1}{2}\sin 2x + C\)
B.\(\smallint f\left( x \right)dx =  - \dfrac{1}{2}\sin 2x + C\)
C.\(\smallint f\left( x \right)dx = 2\sin 2x + C\)
D.\(\smallint f\left( x \right)dx =  - 2\sin 2x + C\)

A.\(\smallint f\left( x \right)dx = 3{x^3} - x + C\) 
B.\(\smallint f\left( x \right)dx = {x^3} - x + C\)
C.\(\smallint f\left( x \right)dx = \dfrac{1}{3}{x^3} - x + C\)
D.\(\smallint f\left( x \right)dx = {x^3} - C\)

A.\(x = 3\)
B.\(x = 2\)
C.\(x = \dfrac{8}{3}\)
D.\(x = \dfrac{1}{2}\)

A.\(x = 3\)
B.\(x = 2\)
C.\(x = 1\)
D.\(x =  - 1\)

A.\({a^6}\)
B.\({a^{\dfrac{3}{2}}}\)
C.\({a^{\dfrac{2}{3}}}\)
D.\({a^{\dfrac{1}{6}}}\)

A.\(y' = {2^x}\ln 2\)
B.\(y' = {2^x}\)
C.\(y' = \dfrac{{{2^x}}}{{\ln 2}}\)
D.\(y' = x{2^{x - 1}}\)

A.\(\dfrac{1}{2} + {\log _3}a\)
B.\(2{\log _3}a\)
C.\({\left( {{{\log }_3}a} \right)^2}\)
D.\(2 + {\log _3}a\)

A.\(0\)
B.\(1\)
C.\(2\)
D.\( - 2\)

A.\(y =  - {x^4} + 2{x^2} - 1\)
B.\(y = {x^4} - 2{x^2} - 1\)
C.\(y = {x^3} - 3{x^2} - 1\)
D.\(y =  - {x^3} + 3{x^2} - 1\)

A.\(x = 1\)
B.\(x =  - 1\)
C.\(x = 2\)
D.\(x =  - 2\)