An integral for rotational movement equations

[Solar Eclipse]

Im talking calc and physics in high school 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 \varpid\varpi=\alphad\theta and then I take the integral will it be (\varpi^2)/2 = \alpha\theta or did I do it all wrong?

 

[tiny-tim]

If I have \varpid\varpi=\alphad\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.

 

[Solar Eclipse]

awesome thank you for the help.