an integral for rotational movement equations

Im talking calc and physics in highschool right now and I was bored and messed with my formulas but I need some help now.It's for rotational movement.
If I have $$\varpi$$d$$\varpi$$=$$\alpha$$d$$\theta$$ and then I take the integral will it be ($$\varpi$$^2)/2 = $$\alpha\theta$$ or did I do it all wrong?
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 Quote by Solar Eclipse If I have $$\varpi$$d$$\varpi$$=$$\alpha$$d$$\theta$$ and then I take the integral will it be ($$\varpi$$^2)/2 = $$\alpha\theta$$ or did I do it all wrong?
Hi Solar Eclipse!

(have an omega: ω and an alpha: α and a theta: θ )

Yes, that's fine, if α is a constant, of course (except you left out the "+ C"! ) …

d(something) works the same no matter what the something is, and no matter whether you have d(something-else)s in the same equation.
 awesome thank you for the help.

 Tags basic physics, integral, rotational inertia