∫xex2 dx=\displaystyle\int x e^{x^2}\,dx =∫xex2dx=Aex22+C\dfrac{e^{x^2}}{2} + C2ex2+Ccheck_circleBex2/x+Ce^{x^2}/x + Cex2/x+CCex2+Ce^{x^2} + Cex2+CDxex2+Cx e^{x^2} + Cxex2+CExplanationu=x2u = x^2u=x2, du=2x dxdu = 2x\,dxdu=2xdx. ∫eu du/2=eu/2\int e^u\,du/2 = e^u/2∫eudu/2=eu/2.