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To integrate x²ln x by parts, which choice of u and dv… | StemPy Lab
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To integrate x²ln x by parts, which choice of u and dv is the best?
Mathematics
Medium
High School (11–12)
Functions and Calculus › Integrals
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Created by
StemPy Lab
To integrate
x
2
ln
x
x^2\ln x
x
2
ln
x
by parts, which choice of
u
u
u
and
d
v
dv
d
v
is the best?
u
=
ln
x
u = \ln x
u
=
ln
x
and
d
v
=
x
2
d
x
dv = x^2\,dx
d
v
=
x
2
d
x
u
=
x
2
u = x^2
u
=
x
2
and
d
v
=
ln
x
d
x
dv = \ln x\,dx
d
v
=
ln
x
d
x
u
=
x
2
ln
x
u = x^2\ln x
u
=
x
2
ln
x
and
d
v
=
d
x
dv = dx
d
v
=
d
x
u
=
1
u = 1
u
=
1
and
d
v
=
x
2
ln
x
d
x
dv = x^2\ln x\,dx
d
v
=
x
2
ln
x
d
x
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