Integration with Symbolic Variables

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Hi,
I have a problem like that. How can i solve this?
  3 个评论
Furkan KORKMAZ
Furkan KORKMAZ 2023-5-12
Sorry, this is my wrong. Firstly, i was thinking double integration but after that i was simplfy my problem like that.

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采纳的回答

VBBV
VBBV 2023-5-12
syms theta r
a=10;
x=a*(1-cos(theta));
y=a*(1-sin(theta));
r=sqrt(x^2+y^2)
r = 
I = vpaintegral(r,0,2*pi)
I = 
100.367

更多回答(2 个)

Sulaymon Eshkabilov
Use integral() - see DOC
E.g.:
% Step 1. Create a function handle:
F = @(theta, a)sqrt((a*(1-cos(theta))).^2+(a*(1-sin(theta))).^2);
% Step 2. Compute the integral:
INT_F = integral(@(theta)F(theta, 10), 0, 2*pi)
INT_F = 100.3668

Furkan KORKMAZ
Furkan KORKMAZ 2023-5-14
编辑:Furkan KORKMAZ 2023-5-14
Thank you for your answers. However, I think I'm getting erroneous results because of the information I gave incomplete. I'm correcting my question.

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