Integration of a Series Sum

I want to write a series sum in terms of a variable that I will integrate numerically:

syms q
fun = @(k) symsum(k*q,q,0,10)
integral(fun,0,1)

How can this be done?

Answer 1

[Walter Roberson]

sum(k*q,q,0,10) is going to be k * sum(q,q,0,10) which is going to be k * (10 * (10+1) / 2) which is going to be 45*k

integral(45*k, k, 0, 1) is going to be 45*k^2/2 evaluated at 1, which will be 45/2 .

Anyhow:

syms k q
fun = matlabFunction( symsum(k*q, q, 1, 10), 'vars', k);

and then integrate fun

[Thomas]

Unfortunately, the real series is rather more complicated, but thanks to your quick response, I hope Matlab will be able to handle it numerically. Thanks again.