A.\(\int\limits_0^1 {f''\left( x \right)\left( {1 - x} \right)dx}  =  - 2021\)
B.\(\int\limits_0^1 {f''\left( x \right)\left( {1 - x} \right)dx}  = 2021\)
C.\(\int\limits_0^1 {f''\left( x \right)\left( {1 - x} \right)dx}  = 1\)
D.\(\int\limits_0^1 {f''\left( x \right)\left( {1 - x} \right)dx}  =  - 1\)

A.\({a^5}{b^4}\)
B.\({a^4}{b^5}\) 
C.\(5a + 4b\)
D. \(4a + 5b\)

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

A.\(4 - 5i\).
B.\(5 - 4i\).
C.\( - 4 - 5i\).
D.\(4 + 5i\).

A.\(6\).
B.\(8\).
C.\(4\).
D.\(2\).

A.\(V = \dfrac{{\pi \left( {{{\rm{e}}^2} - 1} \right)}}{2}\)
B.\(\dfrac{{\pi {{\rm{e}}^2}}}{2}\).
C.\(V = \dfrac{{{{\rm{e}}^2} - 1}}{2}\)
D.\(V = \dfrac{{\pi \left( {{{\rm{e}}^2} + 1} \right)}}{2}\).

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

A.\(a < 0,b < 0,c < 0\).
B.(a > 0,b < 0,c < 0\).
C.\(a > 0,b > 0,c < 0\)
D.\(a > 0,b < 0,c > 0\).

A.\(\dfrac{{\sqrt 3 {a^3}}}{{12}}\).
B.\(\dfrac{{3{a^3}}}{4}\)
C.\(\dfrac{{{a^3}}}{4}\).
D.\(\dfrac{{\sqrt 3 {a^3}}}{4}\).

A.\(4\).
B.\(3\). 
C.\(2\sqrt 2 \).
D.\(2\sqrt 3 \).