Confused and slightly lost with an U substitution integral

[George2]

Hey, so I've just started solving integrals, and I've been solving one particular problem. Non the less, the result was wrong so I checked the steps with wolframalpha, however I cannot wrap my head around a particular +1.

I'm confused about the +1, that appears in the last line ( the +1 before du). Where does it come from?


Hopefully this isn't too messy of a post.
Kind regards,
George

 

[Deleted member 4993]

Hey, so I've just started solving integrals, and I've been solving one particular problem. Non the less, the result was wrong so I checked the steps with wolframalpha, however I cannot wrap my head around a particular +1.

I'm confused about the +1, that appears in the last line ( the +1 before du). Where does it come from?


Hopefully this isn't too messy of a post.
Kind regards,
George

It comes from x² + 1 !!

u = \(\displaystyle \sqrt{2x - 1}\)

u² = ??

2x = ??

x = ??

x² = ??

x² + 1 = ??

 

[George2]

I'm an idiot lol -.- Thanks for the help, it seems I need a bit of a break to clear my head. Really appreciate the help.