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(Solved): Evaluate the integral.
dxx
ln(6x)
We substitute
u = ln(6x)
because its differential is
du = ...
Evaluate the integral.
dxx
ln(6x)
We substitute
u = ln(6x)
because its differential is
du =
dx,
which occurs in the integral. We have the following.
dxx
ln(6x)
=
1
u
du
=
u du
=
2u + C
=
2(ln(6x)) + C