Okay , i have the Integral of xdx/[(x-2.5)^2-6.25] Substitution |t=x-2.5;dt=dx;x=t+2.5|

= Integral of tdt/(t^2-6.25) + 2.5 * Integral of dt/(t^2-6.25) ; So i can solve the first one with substitution , and the second part is where my question comes out.

Can i return the substitution of t back as 2.5 * Integral of dx/[(x-2.5)^2-6.25]

Seems pretty fine to me, but had to be sure if i`m not making any mistake.