I am not able to integrate heaviside(y-f) for x= 0 to pi/2 and y = 0 to pi/2 (only syms integration "int"). After running the code, output is shown in below and i am not able to get the numerical answer. Can you give some ideas on how to proceed?

3 次查看(过去 30 天)
syms x y
f = sin(x);
integ = int( int(heaviside(y-f), x, 0, pi/2),y, 0, pi/2)
Result:
integ =
int(int(heaviside(y - sin(x)), x, 0, pi/2), y, 0, pi/2)
  4 个评论

请先登录,再进行评论。

采纳的回答

Walter Roberson
Walter Roberson 2020-8-13
Reverse the order of integration.
>> integ = int( int(heaviside(y-f), y, 0, pi/2),x, 0, pi/2)
integ =
pi^2/4 - 1

更多回答(1 个)

hosein Javan
hosein Javan 2020-8-13
if you need numerical integration, some functions cannot be easily evaluated by symbolic. instead use "integral". in here we have a double integral. the integral calculation method is 'iterated' which means on each iteration it is integrating on one dimension and then the next. it takes a few seconds to accomplish though.
fun = @(x,y) double( y > sin(x) )
q = integral2(fun, 0, pi/2, 0, pi/2, 'Method', 'iterated', 'Reltol', 1e-8)
% answer in command window:
q =
1.4674
here's your function plot. blue part is zero. yellow part equals one.
  3 个评论
CHINTALAPUDI GNANA SURYA NARAYANA SAI
actually i need to do syms int type of integration, but as you suggested i will also look into integral2 command. Thank you very much.

请先登录,再进行评论。

类别

Help CenterFile Exchange 中查找有关 Calculus 的更多信息

Community Treasure Hunt

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

Start Hunting!

Translated by