Question

`int (1-x)/((1+x)*(x+x^2+x^3)^(1/2)dx`?

Answer 1

The integral can be first simplified a bit as `int ((1-x) dx) / ((1+x) x^(1/2) (1+x+x^2)^(1/2))`

Now multiply the numerator and denominator by `(1-x)^(1/2)`

The result would be `int((1-x)^(3/2) dx)/((1+x) x^(1/2) (1-x^3)^(1^/2 )`

No anti derivative seems possible