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

1 Answer
Mar 11, 2017

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