-1/3 cot(x) (2+csc^2(x)) - Wolfram|Alpha

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    Alternate form assuming x is real:

    link to /input/?i=%282+sin%282+x%29%29%2F%283+%28-1%2Bcos%282+x%29%29%29%2B%284+sin%5E2%28x%29+sin%282+x%29%29%2F%283+%28-1%2Bcos%282+x%29%29%5E3%29&lk=1&a=ClashPrefs_*Math-
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    Series expansion at x=0:

    link to /input/?i=-1%2F%283+x%5E3%29-2%2F%283+x%29%2B%2811+x%29%2F45%2B%2862+x%5E3%29%2F2835&lk=1&a=ClashPrefs_*Math-
    EnlargeEnable InteractivityDownload as CDF

    Derivative:

    link to /input/?i=csc%5E4%28x%29&lk=1&a=ClashPrefs_*Math-
    EnlargeEnable InteractivityDownload as CDF

    Indefinite integral:

    link to /input/?i=%28cot%5E2%28x%29%29%2F6-2%2F3+log%28sin%28x%29%29&lk=1&a=ClashPrefs_*Math-
    EnlargeEnable InteractivityDownload as CDF

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