i am trying to record myself playing guitar
i have a mic in my computer but i cannot find any good recording software FOR FREE

i need your help good people of the forum
Although this should be in recording and riffs, I'd say for free, try Audacity. I think There's Reaper as well, but there's a "trial" period on it (I don't think it expires though).
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The best free digital audio workstation (DAW) out there is Reaper.

Just be aware that the quality from your computer mic wont be very good, if you're serious about recording then you might want to invest in an audio interface of some sort and a proper mic.
"The time I burned my guitar it was like a sacrifice. You sacrifice the things you love. I love my guitar."- Jimi Hendrix