If I enter the code below the end result is outputted as  Pi/Pi (pi over pi). But I want an output of 1 not pi over pi. How do I get maple to return 1 ?

test:=int((1/(2*pi) + cos(k*phi)), phi=-Pi..Pi);
t1:=value(test);

I am thinking that the integral of int(cos(k*theta), theta=-pi..pi);

is zero for k =1,2,3,4,5..., since the sin(Pi); is zero

When I evaluate this integral in maple

int(cos(k*theta), theta=-pi..pi);

For the function

F(u)= u(x)u(y)                    

the first Frechet derivative is given as

F'(u)v = v(x)u(y) + u(x)v(y)

that is the Frechet derivative of F(u) acting on v.

So how do I get maple to give me the Frechet derivative of  F(u)= u(x)u(y)  ?

F(u...

Hi All,

I'm new here and to Maple and this is my first post.

How do I get maple to evalaute the following expression:

sum(exp(-1/2*(((psi-theta) + 2*pi*n) / (sigma))^2), n=1..infinity);

psi and theta are angles, sigma is a constant - basically psi, theta and sigma are numbers. In fact the summation is where n is a member of Z (set of integers) but I will be happy with a solution for n= 1..infinity.