Construct the convolution of g(t) and k(t)
I first write
Can I make the same move I would make with the Heaviside step function and rewrite the integral as..
due to the fact that the function would be off while t < 2 ?
If not, can i use the sifting property and just evaluate with t = 2, = . Or do the limits play a part here?
Would I also have to throw the heaviside in after that solution? Resulting in
I know I'm pulling from properties about the Heaviside and Dirac, just a little confused.