S sareen New member Joined Oct 9, 2009 Messages 24 Oct 9, 2009 #1 Use integration by parts to prove the reduction formula: ? x^n e^x dx= x^n e^x - n?x^n-1 e^x dx Then use the above to evaluate: ?x^3 e^x dx
Use integration by parts to prove the reduction formula: ? x^n e^x dx= x^n e^x - n?x^n-1 e^x dx Then use the above to evaluate: ?x^3 e^x dx
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Oct 9, 2009 #2 Let \(\displaystyle u=x^{n}, \;\ dv=e^{x}dx, \;\ du=nx^{n-1}dx, \;\ v=e^{x}\) Now, put it altogether using parts.
Let \(\displaystyle u=x^{n}, \;\ dv=e^{x}dx, \;\ du=nx^{n-1}dx, \;\ v=e^{x}\) Now, put it altogether using parts.
