# Hypothetical integral

• June 18th 2009, 04:55 PM
Kaitosan
Hypothetical integral
Let's take the case of $1/sqrt(x^3 + x^2 + 1)$

Partial fractions won't seem to work because of the exponent.

Trig sub... won't work too I think because you can't complete the square with a variable of degree over two.

So what now? Is there a technical way to solve this integral?
• June 18th 2009, 05:43 PM
Bruno J.
I doubt you will be able to solve such an integral by elementary means. There is probably not even a closed form solution.
• June 18th 2009, 06:18 PM
Kaitosan
I thought so. Thanks.