How can I integrate a non analytic function?

13 次查看（过去 30 天）

davood 2014-1-13

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/112227-how-can-i-integrate-a-non-analytic-function

Hello,

i am trying to integrate:

(1/b)*exp(b(thata(x)-1))*y_f '(x)

and find it's value at x_star. where b and x_star are constant. but the problem is that i don't have the analytical forms of theta(x) and y_f(x). i only have the following four coupled differential equations containing four functions (y_s(x), theta(x), theta_s(x) & y_f(x)):

-2*x*thata'(x)= thata''(x)-q*gamma*(y_s(x))^.66*(theta(x))^n-ksi*(theta(x)-theta_s(x))

-x*theta_s'(x)=zeta*(y_s(x))^-.66*(theta(x)-theta_s(x))

2*x*y_s'(x)=gamma*(y_s(x))^.66*(theta(x))^n

-2*x*y_f '(x)=(1/L)*y_f ''(x)+gamma*(y_s(x))^.66*(theta(x))^n

How can I evaluate that integral?

thank you