Integration with Symbolic Variables

Hi,

I have a problem like that. How can i solve this?

[Torsten]

What do you mean by "double integration problem" ? Is there a second integration variable apart from theta ?

[Furkan KORKMAZ]

Sorry, this is my wrong. Firstly, i was thinking double integration but after that i was simplfy my problem like that.

[Dyuman Joshi]

@Furkan KORKMAZ please check the answers posted below.

Answer 1

[VBBV]

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

[Furkan KORKMAZ]

Thank you

Answer 2

[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]

Thank you

Answer 3

[Furkan KORKMAZ]

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.