2 years ago

9.) Find the following antiderivative

Mathematics

2 answers:

Studentka2010 [4]2 years ago

8 0

◆ Indefinite Integration ◆

IrinaVladis [17]2 years ago

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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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