∫x3ex2 dx\displaystyle\int x^{3}e^{x^{2}}\,dx∫x3ex2dx equals
x(x−1)2 ex2\dfrac{x(x-1)}{2}\,e^{x^{2}}2x(x−1)ex2
x2−12 ex2\dfrac{x^{2}-1}{2}\,e^{x^{2}}2x2−1ex2
x(x+1)2 ex2\dfrac{x(x+1)}{2}\,e^{x^{2}}2x(x+1)ex2
x2+12 ex2\dfrac{x^{2}+1}{2}\,e^{x^{2}}2x2+1ex2
