Integral of (dx)^2: Answers Here

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alpha25
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Hello, does anyone knows the Integral of (dx)^2

Excuse my english, I hope I had make myself clear, thanks
 
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In fact i am trying to resolve a a diferencial equation d2y/(dx)^2+y=0
I don´t know how to demostrate that a possibly answer is KCos(x-x0)
 
I know that KCos(x-x0) is a solution of d2y/(dx)^2+y=0 but I don t know how to demostrate it!