Đề kiểm tra tập trung HK2 môn Toán lớp 12 Trường T...

A. 34

B. 32

C. 36

D. 40

A. \(I =  - \frac{1}{4}{\pi ^4}\)

B. \(I =  - {\pi ^4}\)

C. \(I =  - \frac{1}{4}\)

D. \(I=0\)

A. \(F\left( x \right) = \frac{{{{\left( {x - 3} \right)}^5}}}{5} - 1\)

B. \(F\left( x \right) = \frac{{{{\left( {x - 3} \right)}^5}}}{5} + 2018\)

C. \(F\left( x \right) = \frac{{{{\left( {x - 3} \right)}^5}}}{5} + x\)

D. \(F\left( x \right) = \frac{{{{\left( {x - 3} \right)}^5}}}{5}\)

A. \(f\left( t \right) = \frac{2}{{{t^2}}} + \frac{1}{t}\)

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

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

D. \(f\left( t \right) =  - \frac{2}{{{t^2}}} + \frac{1}{t}\)

A. 50

B. 40

C. 60

D. 30

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

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

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

D. \({e^x}.{e^{x + 1}} + C\)

A. \(S = \frac{4}{{25}}\)

B. \(S =  - \frac{8}{5}\)

C. \(S = \frac{2}{{25}}\)

D. \(S = \frac{8}{5}\)

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

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

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

D. \(\int {\left( {3{x^2} + \frac{1}{x}} \right)dx = } 6{x^2} + \ln \left| x \right| + C\)

A. \(V = (\pi  + 1)\pi \)

B. \(V = \pi  + 1\)

C. \(V = \pi  - 1\)

D. \(V = (\pi  - 1)\pi \)

A. \(F\left( x \right) = \ln \left| x \right| + \frac{1}{x}\)

B. \(F\left( x \right) = \ln \left| x \right| - \frac{1}{x}\)

C. \(F\left( x \right) = \frac{1}{{2x}}\)

D. \(F\left( x \right) = \frac{{{{\left( {x - 1} \right)}^2}}}{{{x^4}}}\)

A. 3

B. 6

C. 4

D. 5

A. 15 km

B. 12 km

C. 19 km

D. 10 km

A. \(I = {e^x} + x{e^x} + C\)

B. \(I = \frac{{{x^2}}}{2}{e^x} + {e^x} + C\)

C. \(I = \frac{{{x^2}}}{2}{e^x} + C\)

D. \(I = x{e^x} - {e^x} + C\)

A. \(I = \frac{2}{3}{u^{\frac{3}{2}}}\mathop |\nolimits_0^3 \)

B. \(I = \int\limits_1^2 {\sqrt u du} \)

C. \(I = \frac{2}{3}\sqrt {27} \)

D. \(I = \int\limits_0^3 {\sqrt u du} \)

A. \(I = 3e - 2\int\limits_0^1 {{e^x}dx} \)

B. \(I = 3e - 1 + 2\int\limits_0^1 {{e^x}dx} \)

C. \(I = 3e + 2\int\limits_0^1 {{e^x}dx} \)

D. \(I = 3e - 1 - 2\int\limits_0^1 {{e^x}dx} \)

A. \(\int {\frac{{dx}}{{5x - 2}} = \frac{1}{5}\ln \left| {5x - 2} \right| + C} \)

B. \(\int {\frac{{dx}}{{5x - 2}} = 5\ln \left| {5x - 2} \right| + C} \)

C. \(\int {\frac{{dx}}{{5x - 2}} = \ln \left| {5x - 2} \right| + C} \)

D. \(\int {\frac{{dx}}{{5x - 2}} =  - \frac{1}{2}\ln (5x - 2) + C} \)

A. b = 0 hoặc b = 1

B. b = 0 hoặc b = 5

C. b = 1 hoặc b = 5

D. b = 0 hoặc b = 3

A. 4

B. 2

C. - 4

D. - 2

A. \(f\left( x \right) = {e^x}\) và \(g\left( x \right) = {e^{ - x}}\)

B. \(f\left( x \right) = {\tan ^2}x\) và \(g\left( x \right) = \frac{1}{{{{\cos }^2}{x^2}}}\)

C. \(f\left( x \right) = \sin 2x\) và \(g\left( x \right) = {\sin ^2}x\)

D. \(f\left( x \right) = \sin 2x\) và \(g\left( x \right) = {\cos ^2}x\)

A. \(I = \frac{1}{e}\)

B. \(I=1\)

C. \(I = \frac{1}{2}\)

D. \(I=e\)

A. \(\int {\left( {\cos x - \sin 2x} \right)dx = }  - \sin x + \frac{1}{2}\cos 2x + C\)

B. \(\int {\left( {\cos x - \sin 2x} \right)dx = } \sin x + \frac{1}{2}\cos 2x + C\)

C. \(\int {\left( {\cos x - \sin 2x} \right)dx = } \sin x - \frac{1}{2}\cos 2x + C\)

D. \(\int {\left( {\cos x - \sin 2x} \right)dx = }  - \sin x - \frac{1}{2}\cos 2x + C\)

A. \(F\left( x \right) = {e^x} + {x^2} + \frac{3}{2}.\)

B. \(F\left( x \right) = {e^x} + {x^2} + \frac{1}{2}.\)

C. \(F\left( x \right) = {e^x} + {x^2} + \frac{5}{2}.\)

D. \(F\left( x \right) = {e^x} + {x^2} - \frac{1}{2}.\)

A. \(e^2\)

B. \(\frac{{{e^2} + 1}}{e}\)

C. \(\frac{{{e^2} - 1}}{e}\)

D. \(e^2+1\)