Bài tập 45 trang 176 SGK Toán 12 NC

A. \(\int {f(x)\,dx = \dfrac{{{{84}^x}}}{{\ln 84}} + C} \).

B. \(\int {f(x)\,dx = \dfrac{{{2^{2x}}{3^x}{7^x}}}{{\ln 4.\ln 3.\ln 7}} + C} \).

C. \(\int {f(x)\,dx = {{84}^x} + C} \). 

D. \(\int {f(x)\,dx = {{84}^x}\ln 84 + C} \).

A. \(\int\limits_2^4 {f(t)\,dt = 3} \).        

B. \(\int\limits_2^4 {f(t)\,dt =  - 3} \).

C. \(\int\limits_2^4 {f(t)\,dt = 6} \).       

D. \(\int\limits_2^4 {f(t)\,dt = 0} \).

A. \(I = f(x).g'(x)\left| \begin{array}{l}b\\a\end{array} \right. - \int\limits_a^b {f'(x).g(x)\,dx} \)

B. \(I = f(x).g(x)\left| \begin{array}{l}b\\a\end{array} \right. - \int\limits_a^b {f(x).g(x)\,dx} \).

C. \(I = f(x).g(x)\left| \begin{array}{l}b\\a\end{array} \right. - \int\limits_a^b {f'(x).g(x)\,dx} \)

D. \(I = f(x).g'(x)\left| \begin{array}{l}b\\a\end{array} \right. - \int\limits_a^b {f(x).g'(x)\,dx} \).

A. 5                            

B. -5      

C. 9                             

D. -9 

A. \(f(t) = 2{t^2} + 2t\).            

B. \(f(t) = 2{t^2} - 2t\).

C. \(f(t) = {t^2} + t\).           

D. \(f(t) = {t^2} - t\).

A. \(\int {f(ax + b) = \dfrac{1}{a}F(ax + b) + C} \). 

B. \(\int {f(ax + b) = aF(ax + b) + C} \).

C. \(\int {f(ax + b) = F(ax + b) + C} \).

D. \(\int {f(ax + b) = aF(x) + b + C} \).

A. \(F(x) = \cot x + \sqrt 3 \).    

B. \(F(x) =  - \cot x + \sqrt 3 \).

C. \(F(x) = \dfrac{1}{{\sin x}} + \sqrt 3 \).     

D. \(F(x) =  - \dfrac{1}{{\sin x}} + \sqrt 3 \).