1 | initial version |

Probably Maxima just doesn't know this integral. They do get some hypergeometric functions as a result of certain integrals, but it is not as strong in HG functions as Mma. I do get some results if I assume `c>1`

, like

```
sage: integrate((a/x+x^c)^3,x)
3*a^2*x^(c - 1)/(c - 1) - 1/2*a^3/x^2 + 3/2*a*x^(2*c)/c + x^(3*c + 1)/(3*c + 1)
```

but Maxima asks redundant and other questions on this a bunch.

```
(%i8) display2d:false;
(%o8) false
(%i9) integrate((a/x+b*x^c)^3,x);
Is c-1 zero or nonzero?
nonzero;
Is 3*c+1 zero or nonzero?
nonzero;
Is c zero or nonzero?
nonzero;
(%o9) b^3*x^(3*c+1)/(3*c+1)+3*a*b^2*x^(2*c)/(2*c)+3*a^2*b*x^(c-1)/(c-1)-a^3
/(2
*x^2)
```

And once you replace the exponent with a `d`

or some noninteger exponent, it doesn't seem to know what to do.

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