Question

Integrate sin(2t+pi)

Answer 1

Integrate sin(2t).

Answer 2

hint:
let u = 2t+pi
derive both sides with respect to t to get du/dt = 2. That turns into du = 2*dt and dt = du/2

Answer 3

...or, now that I think about it...

\(\sin(2t+\pi) = \sin(2t)\cos(\pi) + \cos(2t)\sin(\pi) = -\sin(2t) = -2\sin(t)\cos(t)\)

Pretty obvious substitution going on, there.