Can this tricky integral be solved in general?

[Muppetmaster]

\pi[\int \right[ \frac{\sqrt{x^2+1}}{x^4+sin(x)^2}\left]\;dx

Is this soluble generally?

 

[hamster143]

Probably not.

 

[Muppetmaster]

Probably not.

Taylor series it is then.

It's easy to make into a series of partial fractions.

 

[hamster143]

http://www.wolframalpha.com/input/?i=\int+sqrt(x^2%2B1)%2F(x^4%2Bsin(x)^2)+dx+