Integration of a Series Sum

1 次查看（过去 30 天）
Thomas
Thomas 2012-12-12
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?

请先登录，再回答此问题。

采纳的回答

Walter Roberson
Walter Roberson 2012-12-12
编辑：Walter Roberson 2012-12-12
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
  1 个评论
Thomas
Thomas 2012-12-12
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.

请先登录，再进行评论。

更多回答（0 个）

类别

在 Help Center 和 File Exchange 中查找有关 Calculus 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by