9.) Find the following antiderivative

asked Sep 19, 2019 107k views

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◆ Indefinite Integration ◆

Magic answered Sep 22, 2019

by Magic

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

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

Cabbibo answered Sep 25, 2019

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