What method has been used in this solved integration problem?

[escobar147]

limits from τ=0 to t

∫τsinωτ dτ

answer: [-τ/ω + 1/ω^2(sinωτ] limits τ = 0 to t

= -t/ω(cosωt) + 1/ω^2(sinωt)Could someone please explain the steps? is this an integration by parts method??

when i attempt integration by parts, with u = τ & dv = sin(ωτ) dτ

I get the following answer:

τ(ωcosωτ) - sinωτ

 

[Ray Vickson]

So, you are saying that v = w*cos(w*t). Have you checked this by taking the derivative?

RGV