(adsbygoogle = window.adsbygoogle || []).push({}); Is this proof for a "linear differential eq" correct purely mathematically

I wonder if this proof is correct purely mathematically

look at (3) in the link, and you will se that they have done the following ...

[tex] \int p(x)dx = \int p(x)dx +c[/tex]

So they have put out the constant of integration before they have done the integration, can they really do that?

http://www.bio.brandeis.edu/classes/biochem102/hndDiffEq.pdf [Broken]

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# Is this proof for a linear differential eq correct purely mathematically

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