In case you are interested, I would suggest you to take a look at sagemath.org, a free an open source (as science should be) mathematical environment with a great many features. The following input var('y') print integrate(hermite(7,y)*y*hermite(16,y)*exp(-y^2),y,-infinity,infinity) print integrate(hermite(7,y)*y*hermite(8,y)*exp(-y^2),y,-infinity,infinity) gives 05160960*sqrt(pi) Cheers!