Evaluate ∫x3ex2dx\int x^3 e^{x^2} dx∫x3ex2dx using the substitution u=x2u = x^2u=x2.
12ex2(x2−1)+C\frac{1}{2} e^{x^2}(x^2 - 1) + C21ex2(x2−1)+C
ex2(x2−1)+Ce^{x^2}(x^2 - 1) + Cex2(x2−1)+C
12ex2(x2+1)+C\frac{1}{2} e^{x^2}(x^2 + 1) + C21ex2(x2+1)+C
2ex2(x2−1)+C2 e^{x^2}(x^2 - 1) + C2ex2(x2−1)+C