Họ tất cả các nguyên hàm của hàm số \(f\left( x \right) = 2x + 6\) là

A. \(\int {f\left( x \right)} dx = \frac{3}{2}{x^{\frac{1}{2}}} + C\).

B. \(\int {f\left( x \right)} dx = \int {\sqrt {{x^3}} } dx\).

C. \(\int {f\left( x \right)} dx = \frac{2}{5}{x^{\frac{5}{2}}} + C\).

D. \(\int {f\left( x \right)} dx = \frac{2}{3}{x^{\frac{1}{2}}} + C\).

A. \(f\left( x \right) = 6{x^2} - 2\)

B. \(f\left( x \right) = \frac{1}{2}{x^4} - {x^2} + x\)

C. \(f\left( x \right) = \frac{1}{2}{x^4} - {x^2} + x + C\).

D. \(f\left( x \right) = 6{x^2} - 2 + C\).

A. \[\frac{1}{{12}}{x^4} - \frac{2}{3}{x^3} + \frac{{{x^2}}}{2} + C\].

B. \(\frac{1}{9}{x^4} - \frac{2}{3}{x^3} + \frac{{{x^2}}}{2} - 2024x + C\).

C. \(\frac{1}{{12}}{x^4} - \frac{2}{3}{x^3} + \frac{{{x^2}}}{2} - 2024x + C\).

D. \(\frac{1}{9}{x^4} + \frac{2}{3}{x^3} - \frac{{{x^2}}}{2} - 2024x + C\).

A. \(\int {f\left( x \right){\rm{d}}x = } \frac{{{x^3}}}{3} - \frac{1}{x} + C\).

B. \(\int {f\left( x \right){\rm{d}}x = } \frac{{{x^3}}}{3} + \frac{2}{x} + C\).

C. \[\int {f\left( x \right){\rm{d}}x = } \int {\left( {{x^2} + \frac{2}{{{x^2}}}} \right)} {\rm{d}}x\].

A. \(\int {\left( {2\sin x + 3x} \right)dx = - 2\cos x + \frac{3}{2}{x^2} + C} \)

B. \(\int {\left( {2\sin x + 3x} \right)dx = 2\cos x + 3{x^2} + C} \)

C. \(\int {\left( {2\sin x + 3x} \right)dx = {{\sin }^2}x + \frac{3}{2}x + C} \)

D. \(\int {\left( {2\sin x + 3x} \right)dx = \sin 2x + \frac{3}{2}{x^2} + C} \)

A. \(\frac{{{x^2}}}{2} + \sin x + C\).

B. \(\frac{{{x^2}}}{2} - \cos x + C\).

C. \(\frac{{{x^2}}}{2} - \sin x + C\).

D. \(\frac{{{x^2}}}{2} + \cos x + C\).