Correct Option: C

Given ∫^∞_{– ∞} e^{– 2t} s′(t)dt
By applying the property of impulse function

∫∞– ∞ f(t) s′(t)dt = –	d	f(t )|at t = 0
	dt

= –	d	e– 2t |at, t = 0
	dt

= – (– 2)e^{– 2t} | _{at, t = 0}
= 2·e^{– 2·0} = 2
Hence, alternative (C) is the correct choice.