4.4 Homework
Calculus I
Andy Long

#2, p. 326

(* #2, p. 326 *)
Clear[x,c]
D[x/2 + Sin[2x]/4+c,x]
TrigExpand[D[x/2 + Sin[2x]/4+c,x],x]
Simplify[TrigExpand[D[x/2 + Sin[2x]/4+c,x],x]]

#9, p. 327

(* #9, p. 327 *)
Integrate[(u+4)(2u+1),u]

#29, p. 327

(* #29, p. 327 *)
Integrate[Sqrt[5/x],{x,1,4}]
Integrate[Sqrt[5/x],x]

#30, p. 327

(* #30, p. 327: try u=x^2+1 -- there's a bit of a trick then! *)
Integrate[x^3Sqrt[x^2+1],x]