Integral dt exp(-a t^2) / (b^2 - t^2)^(2/3)



Hi,

does anybody have an idea how to solve analytically the following
integral:

Integral{0,+inf} dt exp(-a t^2) / (b^2 - t^2)^(2/3)

where a and b are real numbers > 0.

I tried a few things, but eventually I gave up. I'm not the best
integrator. Can anybody help? Any hint is welcome.

Cheers,
Pedro
.



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