d^4/dt^4(Ai(t)) - Wolfram|Alpha
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Derivative:

Series expansion at t=0:

link to /input/?i=-2%2F%283%5E%281%2F3%29+%CE%93%281%2F3%29%29-%285+t%5E3%29%2F%283+3%5E%281%2F3%29+%CE%93%281%2F3%29%29%2B%282+t%5E2%29%2F%283%5E%282%2F3%29+%CE%93%282%2F3%29%29&lk=1&a=ClashPrefs_*Math-
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Indefinite integral:

link to /input/?i=Ai%28t%29%2Bt+Ai%27%28t%29&lk=1&a=ClashPrefs_*Math-
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