integration to do with the error function...

I am using mathematica to calculate a nasty integration
to do with the error function, but to no avail.

It reads \int_a^b \sqrt{1-Erf[x]^2} d x with a and b any
number.

Can someone help? Originally, i intend to do a full integration from
negative infinite to positive infinite. But it won't work (returns the
same thing i typed in mathematica). Then i tryed finite integration,
again the same. Does anyone have any idea how to get the answer
of this integration ?

.

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