anonymous
  • anonymous
Does anyone know how to evaluate the integral of e^f(x) dx
Mathematics
jamiebookeater
  • jamiebookeater
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
\[\int\limits_{?}^{?}e^{f(x)}dx\]
anonymous
  • anonymous
there 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
  • anonymous
Yeah.... true enough... I am trying to get a solution to a differential equation and well its not going to well specifically \[d^{2}v/dx^{2} = -\beta*e^{v}\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
sorry - at work - so keep getting taken away. just to confirm, that is e^v and beta is as constant.
anonymous
  • anonymous
I 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
  • anonymous
Well 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

Looking for something else?

Not the answer you are looking for? Search for more explanations.