Integral(exp(-R*alpha)*LegendreP[l, (-R**2 + t**2 + 1)/(2*t)], R, 1-t, 1+t)Integral(exp(-R*alpha)*LegendreP[l, (-R**2 + t**2 + 1)/(2*t)], R, 1-t, 1+t)

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