MATLAB: Integration of a Series Sum

numerical integrationsum series

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?

Best Answer

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
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