In the integrand below, is f simply a function of y or does it also depend on x?
On Jul 26, 2015, at 04:25, sairam <sairam.tatiko...@gmail.com> wrote: > > > <https://lh3.googleusercontent.com/-HGLRuiudDNI/VbRfkfqbiNI/AAAAAAAAAFk/gVw9Ejc6pyo/s1600/CodeCogsEqn.gif> > > Hi > > I am new bie to sagemath and trying to find the analytical integration for > the above. > > I have used the following expressions in sagemath > > x, y, a, f = var('x,y,a,f') > > f = function("f", x) or f = function("f",x,y) integrate(integrate((diff(f))*(exp(-a*x^2)*cos(y)^2*sin(x)^3), x, 0, pi), > y, -pi, pi) > > In the first case, you want x, y, a= var('x,y,a') f = function("f", x) integrate(integrate((diff(f,x))*(exp(-a*x^2)*cos(y)^2*sin(x)^3), x, 0, pi), y, -pi, pi) which will give you the partially evaluated integral. The sagemath tutorials have more examples. http://doc.sagemath.org/html/en/tutorial/index.html > Though it gives output for the above expression, it does not consider the > term differential of f, can you please let me know how to include the > differential in the integration. > > If I use the following, which includes differential with respect to y, it > does not run but dumps an error > > integrate(integrate((diff(f), y)*(exp(-a*x^2)*cos(y)^2*sin(x)^3), x, 0, > pi), y, -pi, pi) > > Any help for solving the above integration will be highly appreciated. > > Thanks in advance, > > Regards, > sairam > > > -- You received this message because you are subscribed to the Google Groups "sage-edu" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-edu+unsubscr...@googlegroups.com. To post to this group, send email to sage-edu@googlegroups.com. Visit this group at http://groups.google.com/group/sage-edu. For more options, visit https://groups.google.com/d/optout.
