How find ∫ x 5/(5x+3) ?

1 Answer
MoominDave
Jun 6, 2018

Simplify the fraction then use standard integrals

Explanation:

#int (5x)/(5x+3)dx#

We can simplify the fraction with a little trick here:

#int (5x+3-3)/(5x+3)dx=int(5x+3)/(5x+3)-3/(5x+3)dx=#
#int1-3/(5x+3)dx=x-3/5log(5x+3)+C#

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