Solve Integral Analytically: Int[(1+x^2)^-n e^-x^2]dx

[matt_crouch]

can someone suggest a method to solve an integral of the form analytically?
$\int \left[\frac{1}{(1+x^{2})}\right]^{-n}e^{-x^{2}}dx$

 

[mathman]

Is the bracket a floor function? Otherwise you can use the reciprocal to get (1+x²)ⁿ. In that case the infinite integral can be done, but the indefinite integral can be expressed only in terms of the erf.