A.\[I = f\left( x \right).g'\left( x \right)\left| {_a^b} \right. - \int\limits_a^b {f'\left( x \right)} .g\left( x \right)dx\]
B. \[I = f\left( x \right).g\left( x \right)\left| {_a^b} \right. - \int\limits_a^b {f\left( x \right)} .g\left( x \right)dx\]
C. \[I = f\left( x \right).g\left( x \right)\left| {_a^b} \right. - \int\limits_a^b {f'\left( x \right)} .g\left( x \right)dx\]
D. \[I = f\left( x \right).g'\left( x \right)\left| {_a^b} \right. - \int\limits_a^b {f\left( x \right)} .g'\left( x \right)dx\]
A.\(\left\{ {\begin{array}{*{20}{c}}{u = x}\\{dv = xcosxdx}\end{array}} \right.\)
B. \(\left\{ {\begin{array}{*{20}{c}}{u = {x^2}}\\{dv = cosxdx}\end{array}} \right.\)
C. \(\left\{ {\begin{array}{*{20}{c}}{u = cosx}\\{dv = {x^2}dx}\end{array}} \right.\)
D. \(\left\{ {\begin{array}{*{20}{c}}{u = {x^2}cosx}\\{dv = dx}\end{array}} \right.\)
A.\[I = 0.\]
B. \[I = - \,1.\]
C. \[I = 1.\]
D. \[I = 2.\]
A.8.
B.9.
C.24.
D.36
A.2.
B.7.
C.4.
D.5.
A.bằng 12.
B.bằng 10.
C.bằng 8.
D.bằng 6.
A.\[\frac{{{e^2} - 1}}{2}\]
B. \[\frac{{{e^2} + 1}}{2}\]
C. \[\frac{{{e^2} - 3}}{4}\]
D. \[\frac{{{e^2} - 3}}{2}\]
A.\[I = \frac{1}{2}\]
B. \[I = \frac{{3{e^2} + 1}}{4}\]
C. \[I = \frac{{{e^2} + 1}}{4}\]
D. \[I = \frac{{{e^2} - 1}}{4}\]
A.\[I = - \frac{{\ln {2^{1000}}}}{{1 + {2^{1000}}}} + \ln \frac{{{2^{1001}}}}{{1 + {2^{1000}}}}\]
B. \[I = - \frac{{1000\ln 2}}{{1 + {2^{1000}}}} + \ln \frac{{{2^{1000}}}}{{1 + {2^{1000}}}}\]
C. \[I = \frac{{\ln {2^{1000}}}}{{1 + {2^{1000}}}} - 1001\ln \frac{2}{{1 + {2^{1000}}}}\]
D. \[I = \frac{{1000\ln 2}}{{1 + {2^{1000}}}} - \ln \frac{{{2^{1000}}}}{{1 + {2^{1000}}}}\]
A.\[ - \frac{1}{{13}}\]
B. \[ - \frac{5}{{13}}\]
C. \[\frac{5}{{13}}\]
D. \[\frac{1}{{13}}\]
A.I=−12
B.I=8
C.I=12
D.I=−8
A.\[f\left( x \right) = - \frac{{{\pi ^x}}}{{\ln \pi }}\]
B. \[f(x) = \frac{{{\pi ^x}}}{{\ln \pi }}\]
C. \[f\left( x \right) = {\pi ^x}.\ln \pi \]
D. \[f\left( x \right) = - {\pi ^x}.\ln \pi \]
A.\[a + b + c = 1\]
B. \[a - b + c = 0\]
C. \[a + 2b + c = 0\]
D. \[2a + b + c = - 1\]
A.\[b + c = 127075\]
B. \[b + c = 127073\]
C. \[b + c = 127072\]
D. \[b + c = 127071\]
A.2017
B.2018
C.4034
D.4036
A.S=0
B.S=1
C.\[S = \frac{1}{2}\]
D. \[S = \frac{3}{8}\]
A.\(\frac{1}{2}\)
B. \(\frac{1}{4}\)
C. 1
D. 0
A.\[a - b = - 1\]
B. \[a + b = 1\]
C. \[a + b = 2\]
D. \[a - b = 0\]
A.1
B.\[\frac{5}{2}\]
C. \[\frac{1}{3}\]
D. \[ - \frac{1}{3}\]
A.\[\frac{{32}}{{15}}\]
B. \[\frac{{86}}{{15}}\]
C. \[\frac{{ - 11}}{{15}}\]
D. \[\frac{{16}}{{15}}\]
A.−30
B.−50
C.15
D.25
A.1.
B.−1.
C.−2.
D.2.
A.250
B.251
C.133
D.221
A.5+8ln2
B.3−8ln2
C.5−8ln2
D.7−8ln2
A.3(1−e)
B.3e
C.0
D.3(e−1)
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