Convolution integral

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  1. What is the Convolution Integral?
  2. What is the Laplace Transform of a Convolution Integral?
  1. Determining Convolution Integrals

    Solve the following convolution,


    If ff(tt) = 2 + t2t^{2} and gg(tt) = 2tt

    What about,


    1. Determining the inverse Laplace Transform of functions using convolution integrals

      Find the inverse Laplace Transform of the following function using convolution integrals

      H(s) = 2s(s2+1)2\frac{2s}{(s^{2} + 1)^{2}}