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Mathematics
Mathematics
Problem
Let
I
=
∫
ln
(
5
x
)
d
x
I = \int \ln(5x)\,dx
I
=
∫
ln
(
5
x
)
d
x
. a. (i) Evaluate
I
I
I
in its simplest form. b. (ii) Using the result from part (i), calculate
∫
1
e
ln
(
5
x
)
d
x
\displaystyle \int_{1}^{e} \ln(5x)\,dx
∫
1
e
ln
(
5
x
)
d
x
. Give your answer in exact form.
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