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

A. \[\int {f(x)dx = } F(x) + C\].

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

C. \({\left( {\int {f(x)dx} } \right)^\prime } = f'(x)\).

D. \({\left( {\int {f(x)dx} } \right)^\prime } = F'(x)\).

A. \(\frac{1}{4}{x^4} + \frac{1}{2}{x^2} + C\)

B. \(3{x^2} + 1 + C\)

C. \({x^3} + x + C\)

D. \({x^4} + {x^2} + C\)

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

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. \({f_2}\left( x \right) = \frac{1}{{{{\sin }^2}x}}\).

B. \({f_1}\left( x \right) = - \frac{1}{{{{\cos }^2}x}}\).

C. \({f_4}\left( x \right) = \frac{1}{{{{\cos }^2}x}}\).

D. \({f_3}\left( x \right) = - \frac{1}{{{{\sin }^2}x}}\).