What are the steps and answerr to integrate sin2wt?

To integrate (\sin(2\omega t)), we use the integral formula for sine. The integral is given by:

[ \int \sin(2\omega t) , dt = -\frac{1}{2\omega} \cos(2\omega t) + C ]

where (C) is the constant of integration. The factor of (-\frac{1}{2\omega}) comes from the chain rule, accounting for the derivative of (2\omega t).