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here is a function based on WolframAlpha[]

ShowSteps[exp_] := 
  WolframAlpha[ ToString@HoldForm@InputForm@exp, 
  {{"Input", 2}, "Content"},  PodStates -> {"Input__Show steps"}]

SetAttributes[ShowSteps, HoldAllComplete]

for limits use

PodStates -> {"Limit__Show steps"}

for integration

PodStates -> {"IndefiniteIntegral__Show steps"} 

Update:

WolframAlpha changed output.

Now ShowSteps should work with:

ShowSteps[exp_] := 
  WolframAlpha[ToString@HoldForm@InputForm@exp, 
  {{"Input", 1}, "Content"}, 
   PodStates -> {"Input__Step-by-step solution","Input__Show all steps"}]

 SetAttributes[ShowSteps, HoldAll]

Update - Nov 2014

ShowSteps[exp_] := 
 WolframAlpha[ToString@HoldForm@InputForm@exp, 
 {{"Input", 2}, "Content"}, 
 PodStates -> {"Input__Step-by-step solution"}]
    
SetAttributes[ShowSteps, HoldAll]