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DiKsa [7]
3 years ago
11

9.) Find the following antiderivative

Mathematics
2 answers:
Studentka2010 [4]3 years ago
8 0
◆ Indefinite Integration ◆

IrinaVladis [17]3 years ago
5 0

Let u = 5x+1. Then du = 5·dx, and your integral is

\displaystyle\frac{1}{5}\int{\frac{5}{5x+1}}\, dx=\frac{1}{5}\int{\frac{1}{u}} \, du}\\\\ =\frac{1}{5}\ln(u)=\frac{1}{5}\ln(5x+1)

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