A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Does anyone know how to evaluate the integral of e^f(x) dx
anonymous
 5 years ago
Does anyone know how to evaluate the integral of e^f(x) dx

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{?}^{?}e^{f(x)}dx\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0there is no fixed process for determining the integral as there is in differentiating, where the chain rule allows an analytic solution ( a formula) to be determined. Although some functions have analytic solutions, not all do, for example, $$\int e^{x^2}} /; dx $$ I believe does not have an analytic solution, but $$\int xe^{x^2}} /; dx $$ does Hope that helps,  any comments from anyone else please  as I am not sure this is a very clear answer.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah.... true enough... I am trying to get a solution to a differential equation and well its not going to well specifically \[d^{2}v/dx^{2} = \beta*e^{v}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry  at work  so keep getting taken away. just to confirm, that is e^v and beta is as constant.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I agree with John P. There's no way you could solve it without knowing f(x). Even if you knew f(x) most likely there's no closed solution. This might not be satisfying but you could always use numerical integration (Simpson, trapezoidal, etc) to evaluate an integral between a and b.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well its really a Boundary value problem with these condtions dv/dx=0 at x=0, v(1)=0 and v(0)=Vinitial and the bounds for the diff eq is 0<x<1
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.