I am trying to integrate a function which has a parameter u.

Here is the code I have written

Integrate[((Sin[x] - Sinh[x] - 
     1.36222*(Cos[x] - 
        Cosh[x]))/(1 - (Sin[x] - Sinh[x] - 
         1.36222*(Cos[x] - Cosh[x]))*u)^2), {x, 0, 1}]

Its not working.

Is there any other way say numerically to solve this

(Note that u(t) function of t and I am integrating with respect to x, so I don't have the information of its value, at the most I can say is its real)


1 Answer 1


You can solve your problem using NIntegrate

f[u_?NumericQ] :=NIntegrate[((Sin[x] - Sinh[x] -1.36222*(Cos[x] -Cosh[x]))/(1- (Sin[x] - Sinh[x] -1.36222*(Cos[x] - Cosh[x]))*u)^2), {x, 0, 1}]

thereby parameter u is assumed to be const[x].

 Plot[f[u], {u, 0, 1}]

enter image description here

  • $\begingroup$ I am trying to used this f[u] as an expression for ODE of u , so is there any way to have an explicit expression of f[u] ? $\endgroup$
    – T S Singh
    Sep 5, 2018 at 5:51
  • $\begingroup$ @T S Singh It is an explicit expression, which can be used in NDSolve. $\endgroup$ Sep 5, 2018 at 6:35

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.