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A.\[\mathop \smallint \limits_a^b f\left( x \right)dx = - \mathop \smallint \limits_b^a f\left( x \right)dx\]

B. \[\mathop \smallint \limits_a^b kdx = k\left( {b - a} \right)\]

C. \[\mathop \smallint \limits_a^b f\left( x \right)dx + \mathop \smallint \limits_b^c f\left( x \right)dx = \mathop \smallint \limits_a^c f\left( x \right)dx\]

D. \[\mathop \smallint \limits_a^b f\left( x \right)dx = \mathop \smallint \limits_b^a f\left( { - x} \right)dx\]

A.1

B.2     

C.3     

D.0

A.I=12

B.I=48

C.I=8

D.I=3

A.\[\mathop \smallint \limits_0^1 f\left( x \right){\rm{d}}x = - \,1.\]

B. \[\mathop \smallint \limits_0^1 f\left( x \right){\rm{d}}x = 1.\]

C. \[\mathop \smallint \limits_0^1 f\left( x \right){\rm{d}}x = 2.\]

D. \[\mathop \smallint \limits_0^1 f\left( x \right){\rm{d}}x = - \,2.\]

A.\[F'\left( x \right) = x\]

B. \[F'\left( x \right) = 1\]

C. \[F\left( x \right) = x - 1\]

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

A.−1

B.2

C.\[ - \frac{{55}}{{32}}\]

D. -2

A.\[\mathop \smallint \limits_0^1 f\left( x \right)dx \ge 0\]

B. \[\mathop \smallint \limits_0^1 g\left( x \right)dx \le 0\]

C. \[\mathop \smallint \limits_0^1 g\left( x \right)dx \ge \mathop \smallint \limits_0^1 f\left( x \right)dx\]

D. \[\mathop \smallint \limits_0^1 f\left( x \right)dx \le 0\]

A.\[\mathop \smallint \limits_a^c f\left( x \right)d{\rm{x}} = \mathop \smallint \limits_a^b f\left( x \right)d{\rm{x}} + \mathop \smallint \limits_b^c f\left( x \right)d{\rm{x}}\]

B. \[\mathop \smallint \limits_a^b f\left( x \right)d{\rm{x}} = \mathop \smallint \limits_a^c f\left( x \right)d{\rm{x}} - \mathop \smallint \limits_b^c f\left( x \right)d{\rm{x}}\]

C. \[\mathop \smallint \limits_a^b f\left( x \right)d{\rm{x}} = \mathop \smallint \limits_b^a f\left( x \right)d{\rm{x}} + \mathop \smallint \limits_a^c f\left( x \right)d{\rm{x}}\]

D. \[\mathop \smallint \limits_a^b cf\left( x \right)d{\rm{x}} = - {\rm{c}}\mathop \smallint \limits_b^a f\left( x \right)d{\rm{x}}\]

A.29   

B.5

C.19

D.40

A.32

B.34

C.46

D.40

A.\[\mathop \smallint \limits_1^4 \left[ {f\left( x \right) + g\left( x \right)} \right]dx = 10\]

B. \[\mathop \smallint \limits_3^4 f\left( x \right)dx = - 5\]

C. \[\mathop \smallint \limits_3^4 f\left( x \right)dx = 5\]

D. \[\mathop \smallint \limits_1^4 \left[ {4f\left( x \right) - 2g\left( x \right)} \right]dx = - 2\]

A.−15

B.7

C.15

D.−7

A.1

B.2

C.32         

D.Kết quả khác

A.1.

B.−1.

C.0.

D.2.

A.\[\mathop \smallint \limits_1^{{e^2}} \ln xdx\]

B. \[\mathop \smallint \limits_0^1 2dx\]

C. \[\mathop \smallint \limits_0^\pi \sin xdx\]

D. \[\mathop \smallint \limits_0^2 xdx\]

A.\[\frac{{19}}{3}\]

B. \[\frac{{32}}{3}\]

C. \[\frac{{16}}{3}\]

D. \[\frac{{21}}{2}\]

A.30

B.18

C.20

D.36

A.b=1 hoặc b=−1                                  

B.b=0 hoặc b=1

C.b=0 hoặc b=5

D.b=1 hoặc b=5

A.\[3a - b < 12\]

B. \[a + 2b = 13\]

C. \[a - b > 2\]

D. \[{a^2} + {b^2} = 41\]

A.30

B.31

C.5

D.10

A.\[\frac{7}{{12}}\]

B. \[\frac{7}{4}\]

C. \[\frac{9}{4}\]

D. \[\frac{3}{4}\]

A.3ln3.

B.\[\frac{1}{3}\ln 3\]

C. \[\ln \frac{5}{2}\]

D. \[\ln \frac{2}{5}\]

A.\[f(x) = \cos 3x\]

B. \[f(x) = \sin 3x\]

C. \[f(x) = \cos \left( {\frac{x}{4} + \frac{\pi }{2}} \right)\]

D. \[f(x) = \sin \left( {\frac{x}{4} + \frac{\pi }{2}} \right)\]

A.\[\frac{1}{2}\ln \frac{1}{3}\]

B. \[2\ln 3\]

C. \[\frac{1}{2}\ln 3\]

D. \[2\ln \frac{1}{3}\]

A.12,5.

B.9.

C.11.

D.10.

A.\[\frac{{2\ln 2}}{3}\]

B. \[ - \frac{{2\ln 2}}{3}\]

C. \[ - 2\ln 2\]

D. \[2\ln 2\]

A.\[\mathop \smallint \limits_0^2 \left( {{x^2} + x - 3} \right)dx\]

B. \[3\mathop \smallint \limits_0^{3\pi } \sin xdx\]

C. \[\mathop \smallint \limits_0^{\ln \sqrt {10} } {e^{2x}}dx\]

D. \[\mathop \smallint \limits_0^\pi \cos (3x + \pi )dx\]

A.\[I.J = 8\]

B. \[I.J = \frac{{32}}{5}\]

C. \[I - J = \frac{{128}}{7}\]

D. \[I + J = \frac{{64}}{9}\]

A.4.

B.3.

C.2.

D.1.

A.\[4\sqrt 2 \]

B. \[3\sqrt 2 \]

C. \(\sqrt 2 \)

D. \[ - \sqrt 2 \]

A.0.

B.\[\frac{{64}}{3}\]

C. 7

D. 12,5

A.\[\frac{1}{3} + 6\ln \frac{4}{3}\]

B. \[\frac{1}{2} + 6\ln \frac{4}{3}\]

C. \[\frac{1}{2} - \ln \frac{4}{3}\]

D. \[\frac{1}{2} + \ln \frac{4}{3}\]

A.\[I = \frac{{32}}{{128}}\pi \]

B. \[I = \frac{{33}}{{128}}\pi \]

C. \[I = \frac{{31}}{{128}}\pi \]

D. \[I = \frac{{30}}{{128}}\pi \]

A.4.

B.3.

C.5.

D.6.

A.3

B.5

C.6

D.4

A.\[\frac{{{\pi ^2} - 6}}{{18}}\]

B. \[\frac{{{\pi ^2} - 3}}{{32}}\]

C. \[\frac{{3{\pi ^2} - 16}}{{64}}\]

D. \[\frac{{3{\pi ^2} - 6}}{{112}}\]

A.10(m)

B.6(m)

C.12(m)

D.8(m)

A.0.

B.\[ - 4043\sqrt 2 \]

C. \[2\sqrt 2 \]

D. \[4034\sqrt 2 \]

A.\(\left\{ {\begin{array}{*{20}{c}}{A = - 2}\\{B = - \frac{2}{\pi }}\end{array}} \right.\)

B. \(\left\{ {\begin{array}{*{20}{c}}{A = 2}\\{B = - \frac{2}{\pi }}\end{array}} \right.\)

C. \(\left\{ {\begin{array}{*{20}{c}}{A = - 2}\\{B = \frac{2}{\pi }}\end{array}} \right.\)

D. \(\left\{ {\begin{array}{*{20}{c}}{A = - \frac{2}{\pi }}\\{B = 2}\end{array}} \right.\)

A.4

B.\[\frac{5}{3}\]

C. 5

D. \[\frac{4}{3}\]