Hey guys. just wondering if anyone can help me with this piece of convolution integral.

i am asked to convolute f(t) and g(t) where

f(t) = 2r(t-1) - 2r(t-2) - u(t-2) - u(t-3) where r is a ramp function and

u is a unit step function

and

g(t) = d(t-2) - d(t-3) where d is the unit impulse

function or delta dirac function

i use the graphical approach and make use of the sifting property of the impulse function. does that sound right? i have an answer but i'm not sure if rite. any help or input would be much appreciated.