Question: Find the inverse Laplace transform (mathscr{L}^{-1}left{left(frac{Gamma(2)}{s^{2}}ight)left(frac{s}{s^{2}+1}ight)ight}) using the convolution theorem, where (Gamma) is the gamma function.

Find the inverse Laplace transform $\mathscr{L}^{-1}\left\{\left(\frac{\Gamma(2)}{s^{2}}ight)\left(\frac{s}{s^{2}+1}ight)ight\}$ using the convolution theorem, where $\Gamma$ is the gamma function.

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