Question

The Laplace transform of the function
sin 2t/t is
​

Answer 1

Answer:

There is an easier way to obtain the Laplace Transform of sin2(t): transform directly the identity sin2(t)=1−cos(2t)2. ∫+∞0sin2(t)e−stdt=−14∫+∞0(eit−e−it)2e−stdt=−14(∫+∞0e−(s−2i)t+e−(s+2i)tdt−2∫+∞0e−stdt)=−14(1s−2i+1s+2i−2s)=14(2s−2ss2+4)=2s(s2+4).

Step-by-step explanation:

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