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((9 + x^8)^(1/3)/x - (8*x^7*Hypergeometric2F1[2/3, 7/8, 15/8, -x^8/9])/(63*3^(1/3)) - 125^x^(-1)/Log[125])/3


Integrate[(5^(3/x) - (x^8 + 9)^(1/3))/(3*x^2), x] ==
((9 + x^8)^(1/3)/x - (8*x^7*Hypergeometric2F1[2/3, 7/8, 15/8, -x^8/9])/ (63*3^(1/3)) - 125^x^(-1)/Log[125])/3



           3/x     8     1/3
          5    - (x  + 9)
Integrate[------------------, x] == 
                    2
                 3 x

       8 1/3
 (9 + x )
(----------- - 
      x
 
                                        8
        7                   2  7  15  -x
     8 x  Hypergeometric2F1[-, -, --, ---]       1/x
                            3  8  8    9      125
     ------------------------------------- - --------)
                        1/3                  Log[125]
                    63 3
 
    / 3

Time to compute: 0.19 second

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