Find the impulse response of the LTI system H characterized by each of the equations below.

(a) \mathcal{H}*Cx(t) = integrate x(tau) dtau from - ∞ to t + 1

(b) mathcal H ( x(t) = integrate x(tau + 5) * e ^ (tau - t + 1) * u(t - tau - 2) dtau from - ∞ to ∞ ;

(c) \mathcal{I}*Gr(t) = integrate x(tau) * v(t - tau) dtau from - ∞ to t and

(d) mathcal IG * x(t) = integrate x(tau) dtau from t - 1 to t .