A.\(S =  - \mathop \smallint \limits_{ - 1}^1 f\left( x \right)dx + \mathop \smallint \limits_1^4 f\left( x \right)dx\)
B.\(S = \mathop \smallint \limits_{ - 1}^1 f\left( x \right)dx + \mathop \smallint \limits_1^4 f\left( x \right)dx\)
C.\(S = \mathop \smallint \limits_{ - 1}^1 f\left( x \right)dx - \mathop \smallint \limits_1^4 f\left( x \right)dx\)
D.\(S =  - \mathop \smallint \limits_{ - 1}^1 f\left( x \right)dx - \mathop \smallint \limits_1^4 f\left( x \right)dx\)

A.\(\left( {4;7;5} \right)\)
B.\(\left( { - 4;7;5} \right)\)
C.\(\left( {8;14;10} \right)\)
D.\(\left( { - 8;14;10} \right)\)

A.\(\dfrac{7}{2}\)
B.\(\dfrac{9}{2}\)
C.\(\dfrac{{11}}{2}\)
D.\(\dfrac{{19}}{2}\)

A.\(\dfrac{1}{4}\ln \left| {4x - 3} \right| + C\)
B.\(\ln \left| {4x - 3} \right| + C\)
C.\(\dfrac{1}{4}\ln \left( {4x - 3} \right) + C\)
D.\(\ln \left( {4x - 3} \right) + C\)

A.\(\dfrac{{x + 2}}{5} = \dfrac{{y - 4}}{7} = \dfrac{{z + 3}}{1}\)
B.\(\dfrac{{x - 5}}{2} = \dfrac{{y - 7}}{{ - 4}} = \dfrac{{z - 1}}{6}\)
C.\(\dfrac{{x - 2}}{5} = \dfrac{{y + 4}}{7} = \dfrac{{z - 3}}{1}\)
D.\(\dfrac{{x + 5}}{2} = \dfrac{{y + 7}}{{ - 4}} = \dfrac{{z + 1}}{3}\)

A.\(\left( {1; - 1; - 3} \right)\)
B.\(\left( { - 1;1;3} \right)\)
C.\(\left( {1; - 1; - 1} \right)\)
D.\(\left( {1;1; - 3} \right)\)

A.\(\left( {4; - 6; - 2} \right)\)
B.\(\left( { - 4;6;2} \right)\)
C.\(\left( { - 2;3;1} \right)\)
D.\(\left( {2; - 3; - 1} \right)\)

A.\(\vec n = \left( {1; - 3;1} \right)\)
B.\(\vec n = \left( {1;3;1} \right)\)
C.\(\vec n = \left( {1; - 3;2} \right)\)
D.\(\vec n = \left( { - 3;1;2} \right)\)

A.\( - \cos x + C\)
B.\(\sin x + C\)
C.\(\cos x + C\)
D.\( - \sin x + C\)

A.\(1\)
B.\(5\)
C.\(\sqrt 3 \)
D.\(\sqrt 5 \)