I hope that I'm not disturbing you with a similar question again.
I just wanna make sure I am correct on this one.
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I have to find:

• Output Waveform
• \(V_{AVG}\)

Here's the circuit:

\(V_o\) terminals are as usual.

\(V_i=6sin(\omega t)\)
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\(V_i>2V\), D1 ON, D2 OFF, \(V_o=3sin(wt)+1\)
\(V_i<-4V\), D1 OFF, D2 ON, \(V_o=-4V\)
\(-4\leq V_i \geq 2V\), D1 OFF, D2 OFF, \(V_o=V_i\)

* \(V_o\) waveform:

* \(V_{AVG}\):

which gives as a result \(V_{AVG}=-0.155847\)
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Am i right ? Im not sure because this is the most complex waveform I solved.

 

I see that you found Mathematica, presumably on your school's network.

I solved the problem using the simpler method I demonstrated in the other thread. I get exactly the same result, so you're good to go.