Đề trắc nghiệm Chương 3 Giải tích 12 Trường THPT T...

A. \(I = {{\rm{e}}^3} - 1\)

B. \(I=e-1\)

C. \(I = \frac{{{{\rm{e}}^3} - 1}}{3}\)

D. \(I = {{\rm{e}}^3} + \frac{1}{2}\)

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

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

C. \({x^2} - \frac{1}{2}\cos 2x + C\)

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

A. I = 11

B. I = 7

C. I = 2

D. I = 18

A. \(\int\limits_a^b {kf\left( x \right){\rm{d}}x}  = k\int\limits_a^b {f\left( x \right){\rm{d}}x} \)

B. \(\int\limits_a^b {f\left( x \right)g\left( x \right){\rm{d}}x}  = \int\limits_a^b {f\left( x \right){\rm{d}}x} .\int\limits_a^b {g\left( x \right){\rm{d}}x} \)

C. \(\int\limits_a^b {\left[ {f\left( x \right) + g\left( x \right)} \right]{\rm{d}}x}  = \int\limits_a^b {f\left( x \right){\rm{d}}x}  + \int\limits_a^b {g\left( x \right){\rm{d}}x} \)

D. \(\int\limits_a^b {\left[ {f\left( x \right) - g\left( x \right)} \right]{\rm{d}}x}  = \int\limits_a^b {f\left( x \right){\rm{d}}x}  - \int\limits_a^b {g\left( x \right){\rm{d}}x} \)

A. \(I = \int\limits_0^{\rm{1}} {\frac{t}{{{{\rm{e}}^t}}}\,{\rm{d}}t} \)

B. \(I = \int\limits_0^1 {{t^2}\,{\rm{d}}t} \)

C. \(I = \int\limits_0^{\rm{1}} {t\,{\rm{d}}t} \)

D. \(I = \int\limits_1^{\rm{e}} {t\,{\rm{d}}t} \)

A. \(S = \frac{8}{3}\)

B. \(S = \frac{7}{3}\)

C. S = 8

D. S = 7

A. \(\int {f\left( x \right){\rm{d}}x =  - \sin x + C} \)

B. \(\int {f\left( x \right){\rm{d}}x =  - \cos x + C} \)

C. \(\int {f\left( x \right){\rm{d}}x =   \cos x + C} \)

D. \(\int {f\left( x \right){\rm{d}}x =   \sin x + C} \)

A. \(\int\limits_a^b {{f^2}\left( x \right)\,{\rm{d}}x} \,\)

B. \(2\pi \int\limits_a^b {{f^2}\left( x \right)\,{\rm{d}}x} \,\)

C. \(\pi \int\limits_a^b {{f^2}\left( x \right)\,{\rm{d}}x} \,\)

D. \(\pi \int\limits_a^b {{f}\left( x \right)\,{\rm{d}}x} \,\)

A. \(I = 2\int {tdt} \)

B. \(I = \frac{1}{2}\int {tdt} \)

C. \(I = \int {\left( {t + 1} \right)dt} \)

D. \(I = \int {tdt} \)

A. \(\int\limits_a^b {f\left( x \right){\rm{d}}x}  = \int\limits_b^a {f\left( x \right){\rm{d}}x} \)

B. \(\int\limits_a^b {f\left( x \right){\rm{d}}x}  = \int\limits_a^c {f\left( x \right){\rm{d}}x}  + \int\limits_c^b {f\left( x \right){\rm{d}}x} \) với \(c \in \left[ {a;b} \right]\)

C. \(\int\limits_a^b {k{\rm{d}}x}  = k\left( {b - a} \right)\), \(\forall k \in R\)

D. \(\int\limits_a^b {f\left( x \right){\rm{d}}x}  =  - \int\limits_b^a {f\left( x \right){\rm{d}}x} \)

A. \(I = x\sin x\left| {{}_0^{\rm{\pi }}} \right. + \int\limits_0^{\rm{\pi }} {\sin x{\rm{d}}x} \)

B. \(I = x\sin x\left| {{}_0^{\rm{\pi }}} \right. - \int\limits_0^{\rm{\pi }} {\sin x{\rm{d}}x} \)

C. \(I = x\sin x\left| {{}_0^{\rm{\pi }}} \right. - \int\limits_0^{\rm{\pi }} {\cos x{\rm{d}}x} \)

D. \(I = x\cos x\left| {{}_0^{\rm{\pi }}} \right. - \int\limits_0^{\rm{\pi }} {\sin x{\rm{d}}x} \)

A. \(I = \frac{1}{2}a + 1\)

B. \(I=2a+1\)

C. \(I=2a\)

D. \(I = \frac{1}{2}a\)

A. \(\frac{\pi }{2}\left( {{e^2} - 1} \right)\)

B. \(\pi \left( {{e^2} + 1} \right)\)

C. \(\frac{\pi }{2}\left( {{e^2} + 1} \right)\)

D. \(\pi \left( {{e^2} - 1} \right)\)

A. \(\int\limits_a^b {\left| {f\left( x \right)} \right|dx} \)

B. \(\pi \int\limits_a^b {f\left( x \right)dx} \)

C. \(\int\limits_a^b {{f^2}\left( x \right)dx} \)

D. \(\int\limits_a^b {f\left( x \right)dx} \)

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

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

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

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

A. 40 m

B. 80 m

C. 60 m

D. 20 m

A. \(a-b=1\)

B. \(2a+b=1\)

C. \(a+2b=0\)

D. \({a^2} + {b^2} = 4\)

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

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

C. \(F\left( x \right) =  - \left( {x + 1} \right){{\rm{e}}^{ - x}} + 1\)

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

A. \(\ln 2\)

B. 3

C. 4

D. \(2+\ln 2\)

A. M = 28

B. M = 34

C. M = 14

D. M = 8