# normal integral with denominator

Can anyone help me solve this integral?

$$\int_{-\infty}^{\infty}\frac{\exp\left(-\frac{(x-\mu2)^2}{2\sigma^2}\right)\exp\left(-\frac{(x-{\it constant}-\mu1)^2}{2\sigma^2}\right)}{x-{\it constant}-\mu1 + 0.8\exp(-0.4\left({x-{\it constant}-\mu1}\right))} dx$$

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I would be surprised if this can be calculated analytically. It's a small miracle that the normal gaussian may be integrated analytically - but add the deminator which has $M+N\exp(-x)$... and it's hard. – Luboš Motl May 29 '11 at 12:24
Thanks for your comments. If if cannot be solved analytically, can it be approximated? actually I have approximated the integral on the following page, If you can help me in solving this math.stackexchange.com/questions/42054/nested-normal-integral – shaikh May 30 '11 at 1:42