Which one of the following is the correct Laplace transfer of the signal in the given Figure?

A. $$\frac{1}{{2{s^2}}}\left[ {1 - {e^{ - 2s}}\left( {1 + 2s} \right)} \right]$$

B. $$\frac{1}{{2{s^2}}}\left[ {{e^{ - 2s}} - \left( {1 - 2s} \right)} \right]$$

C. $$\frac{1}{{2{s^2}}}\left[ {{e^{ - 2s}} + \left( {1 - 2s} \right)} \right]$$

D. $$\frac{1}{{2{s^2}}}\left[ {1 - {e^{ - 2s}} + 2s} \right]$$

Answer: Option B