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Integration by parts
Optimal choice of u and dv
MCQ
To calculate the integral of x * ln(x) dx, what choice of u and dv is recommended by the ILATE rule?
Possible answers
u
=
ln
x
u = \ln x
u
=
ln
x
,
d
v
=
x
d
x
dv = x\,dx
d
v
=
x
d
x
u
=
x
u = x
u
=
x
,
d
v
=
ln
x
d
x
dv = \ln x\,dx
d
v
=
ln
x
d
x
u
=
x
ln
x
u = x\ln x
u
=
x
ln
x
,
d
v
=
d
x
dv = dx
d
v
=
d
x
u
=
1
u = 1
u
=
1
,
d
v
=
x
ln
x
d
x
dv = x\ln x\,dx
d
v
=
x
ln
x
d
x
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