Cho \(\int {f\left( x \right)dx} = {F_1}\left( x \right),\int {g\left( x \right)dx} = {F_2}\left( x \right)\). Tính \(I = \int {\left[ {2g\left( x \right) - f\left( x \right)} \right]} dx\).

A. 5;

B. 625;

C. 25;

D. 125.

A. \({F_1}\left( x \right) = \frac{{{x^2}}}{2} + \sqrt x \);

B. \({F_2}\left( x \right) = \frac{{{x^2}}}{2} - \sqrt x \);

C. \({F_3}\left( x \right) = \frac{{{x^2}}}{2} + 2\sqrt x \);

D. \({F_4}\left( x \right) = \frac{{{x^2}}}{2} - 2\sqrt x \).

A. F'(x) = −f(x), ∀x K;

B. f'(x) = F(x), ∀x K;

C. F'(x) = f(x), ∀x K;

D. f'(x) = −F(x), ∀x K.

A. F(x) = f'(x);

B. F'(x) = f(x);

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

D. \(\int {f\left( x \right)dx} = F\left( x \right) + C\).

A. \({F_1}\left( x \right) = 3x - \frac{1}{{{x^2}}}\);

B. \({F_2}\left( x \right) = 3x + \ln x\);

C. \({F_3}\left( x \right) = 3x + \frac{1}{{{x^2}}}\);

D. F₄(x) = 3x – lnx.

A. F₁(x) = x³ + x² – 4;

B. \({F_2}\left( x \right) = \frac{{{x^3}}}{3} + \frac{{{x^2}}}{2}\);

C. F₃(x) = x³ − x² + 1;

D. F₄(x) = 3x³ + x².