Integrals which cant be solved

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Nikola
Nikola 2012-2-24
Dear fellows,
I sometimes work with some problematic functions, so I have question.
For example, I have simple Gaussian function a*exp(-x^2).
Now I need to solve integral int( sqrt(a*exp(-x^2)-En), 'x' ).
And after that I receive report:
Warning: Explicit integral could not be found.
My question is general, so not just for this function.
How to solve these problems? Is there some way to approximate
function like Gaussian, or all these stuff I have to solve
numerically?
If it is so, which numerically approach you recommend me for these
problems?
With best regards,
Nikola

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G A
G A 2012-2-24

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