∫(x^2+1+xe^x^2)dx
= ∫(x^2+1)dx + ∫ x*e^(x^2) dx
= 1/3 x^3 + x + 1/2 ∫ e^(x^2) d(x^2)
= 1/3 x^3 + x + 1/2 e^(x^2) +C