SIGNALS AND SYSTEMS

I need help with a$,$b$,$d$,$e$,$f$.$ I need the full work please, thank you.

Q$3.$ DTFT$.$ Find x$[$n$]$ or X$()$ as required.

a$.$ x$[$n$]=[3],$ find nx$[$n$]+2.$

b$.$ x$[$n$]=$ u$[$n$+3]-$ u$[$n$-2]$

c$.$

d$.$ Using the DTFT formula for X$(),$ find the transform of x$[$n$]=$ $[$n$-$no$].\{$no property tables or pairs$\}$

e$.$ x$[$n$]=$ $[$n$+1]+$ $[$n$-1]$

f$.$ State why the synthesis DTFT equation is integrated over the range $[0,2$$]?$