A.\(\int {f'(x){e^{2x}}dx}  =  - {x^2} + 2x + C\)
B.\(\int {f'(x){e^{2x}}dx}  =  - {x^2} + x + C\)
C.\(\int {f'(x){e^{2x}}dx}  = 2{x^2} - 2x + C\)
D.\(\int {f'(x){e^{2x}}dx}  =  - 2{x^2} + 2x + C\)

A.\(V = \dfrac{{\pi {a^3}}}{2}\)
B.\(V = \dfrac{{\sqrt 2 \pi {a^3}}}{6}\)
C.\(V = \dfrac{{\pi {a^3}}}{6}\)
D.\(V = \dfrac{{\sqrt 2 \pi {a^3}}}{2}\)

A.\(Q(1;2)\)
B.\(N(2;1)\)
C.\(M(1; - 2)\)
D.\(P( - 2;1)\)

A.\({(x - 1)^2} + {y^2} + {z^2} = 13\)
B.\({(x + 1)^2} + {y^2} + {z^2} = 13\)
C.\({(x - 1)^2} + {y^2} + {z^2} = \sqrt {13} \)
D.\({(x + 1)^2} + {y^2} + {z^2} = 17\)

A.\(y' > 0,\forall x \in \mathbb{R}\)
B.\(y' < 0,\forall x \in \mathbb{R}\)
C.\(y' > 0,\forall x \ne 1\)
D.\(y' < 0,\forall x \ne 1\)

A.\(f(x) = 3x + 5\cos x + 5\)
B.\(f(x) = 3x + 5\cos x + 2\)
C.\(f(x) = 3x - 5\cos x + 2\)
D.\(f(x) = 3x - 5\cos x + 15\)

A.\(R = \dfrac{{\sqrt 3 a}}{3}\)
B.\(R = a\) 
C.\(R = 2\sqrt 3 a\)
D.\(R = \sqrt 3 a\)

A.\(I = 6\)
B.\(I = 36\) 
C.\(I = 2\)
D.\(I = 4\)

A.\(D = ( - \infty ;1)\)
B.\(D = (1; + \infty )\)
C.\(D = \mathbb{R}\)
D.\(D = \mathbb{R}\backslash {\rm{\{ }}1\} \)

A.\(7\)
B.\(4\)
C.\(6\)
D.\(5\)