1. Evaluate the following integrals a)ſ¨¯¯(t)x(t−t)dɩ_b)ƒ¨ (t³ + b) (t³ +4)6(1-t)dt c)ƒ¨º¸x(2−t)6(3−t)dt_d)ſe(¯) cos[(x−5)]8(x − 3)dx 2. Consider the given LTI system specified by the differential equations (D² + 4D+K)y(t) = (3D+5)x(t) with initial conditions y₁(0) = 3 and y,(0) = −7. Determine the zero-input component of the response for three values of K a) K=3 b)K=4 c)K = 40 3. Determine the Unit Impulse response of the LTI systems described by the following equations a) (D+2)y(t)=(3D+5)x(t) b) D(D+2)y(t) = (D+4)x(t) c) (D²+2D+1)y(t) = Dx(t)