(LegendreP[2,2,x]+3*2*LegendreP[2,0,x])/LegendreP[2,1,x] - Wolfram|Alpha

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Input:

    EnlargeEnable InteractivityDownload as CDF
    Save as image »Copyable plaintext »Mathematica form »

    Result:

    link to /input/?i=-%28-3+%28-1%2Bx%5E2%29%2B3+%28-1%2B3+x%5E2%29%29%2F%283+x+sqrt%281-x%5E2%29%29&lk=1&a=ClashPrefs_*Math-
    EnlargeEnable InteractivityDownload as CDF

    Alternate form assuming x>0:

    link to /input/?i=%28-1%2Bx%5E2%29%2F%28x+sqrt%281-x%5E2%29%29-%28-1%2B3+x%5E2%29%2F%28x+sqrt%281-x%5E2%29%29&lk=1&a=ClashPrefs_*Math-
    EnlargeEnable InteractivityDownload as CDF

    Series expansion at x=-1:

    EnlargeEnable InteractivityDownload as CDF

    Derivative:

    link to /input/?i=-2%2F%281-x%5E2%29%5E%283%2F2%29&lk=1&a=ClashPrefs_*Math-
    EnlargeEnable InteractivityDownload as CDF

    Indefinite integral:

    link to /input/?i=2+sqrt%281-x%5E2%29&lk=1&a=ClashPrefs_*Math-
    EnlargeEnable InteractivityDownload as CDF

    Download full output as:

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