\text { 1) } y_{1}(t)=\int_{t} t^{3} \delta(t-2) d t \text { 2) } y_{2}(t)=\int_{t} \cos (t) \delta(t-\pi / 3) d t \text { 3) } y_{3}(t)=\int_{t=-3}^{-1} t^{5} \delta(t+2) d t \text {. } \text { 4) } x_{4}(t)=10\left(1-e^{-10^{3} t}\right) \mathbb{1}(t) \text {. } \text { 5) } x_{5}(t)=10 e^{-0-2(t-4)} \mathbb{1}(t) \text { 6) } x_{6}(t)=10 e^{-0.2(t-4)} \mathbb{1}(t-4) \text {. }