Question

9.) Find the following antiderivative

Answer 1

◆ Indefinite Integration ◆

Answer 2

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)`