Calc 2 - Help Please
We are integrating by parts, and I was wondering if "theta" was different from a variable such as "x", "t", etc.
Example: [Integral of][e^(2theta)*sin(3theta)d(theta)]
Will this be different because of the Theta?
Can someone show me how to do Integration by Parts for this problem? Please. Thank you.
January 29, 2013
4 Comments • Newest first
Will this be different because of the Theta? No. Treat it the same as any other variable x, y, or z.[*]
Can someone show me how to do Integration by Parts for this problem? [*]
[b]Integration by parts formula: uv - integral{ v du}[/b]
Integral{ e^(2 theta) * sin(3 theta) d (theta) }
let u = sin (3 theta), du = 3 cos (3theta) d (theta) and dv = 2^(2 theta) v =1/2 * e^(2 theta)..
You have to do this twice, just be consistent; [b]if your sin/cos was "u" term, and e is the "v" term stay consistent![/b] Normally we would make the "e^( ) " the "v" term because integrating it is easy.
You can look at attached link for guide on how to approach these type of problems: http://i.imgur.com/QwwefWv.jpg
Just use Excel
No difference.
uv-integral v du.
In this case, let u=sin3theta, dv=e^2theta dtheta.
Solve for du and v, and go from there.
No, there's no difference. Alfa and x are just more common.
[Integral of][e^(2x)*sin(3x)[b]d(x)[/b]]
Do you got the answer for this?