I Why can't we just integrate a simple function?

[NODARman]

TL;DR Summary

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Can anyone explain to me why the second one is the right?
(See the attachment)

 

[PeroK]

The integral is the anti-derivative. What happens when you differentiate $\ln(5 - 2x)$?

 

[Office_Shredder]

Your question is where does the $-1/2$ multiplier come from?

 

[NODARman]

The integral is the anti-derivative. What happens when you differentiate $\ln(5 - 2x)$?

Just got it