How to solve integral with natural logarithm and product I am trying to solve the following integral: int(x)/(4) ln(4/x)

klastiesym 2022-10-13 Answered
How to solve integral with natural logarithm and product
I am trying to solve the following integral:
x 4 ln ( 4 x )
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Answers (1)

Hamnetmj
Answered 2022-10-14 Author has 21 answers
setting x 4 = t we get
x = 4 t
and
d x = 4 d t
thus our integral will be
4 t ln ( t ) d t
we can be solved by parts, ok, the result should be
4 ( 1 2 t 2 log ( t ) t 2 4 ) + C
sorry for posting to late
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