The discussion revolves around solving the equation NIntegrate[f[x],{x,a,b}]==1, where participants explore the challenges of finding values for a and b given that the function f does not have an analytic solution. The scope includes mathematical reasoning and potential computational approaches.
Participants express differing views on the possibility of finding suitable pairs (a, b) that satisfy the integral condition, with some expressing skepticism about the feasibility of the task.
Limitations include the lack of analytic solutions for the function f and the dependence on specific constraints for a and b, which may affect the ability to find solutions.
It's not clear to me what you're trying to do. Are you trying to solve for a and b so that ##\int_a^b f(x)dx = 1##?dabo said:I would like to solve an equation:
NIntegrate[f[x],{x,a,b}]==1
For a and b, my function doesn't have analytic solution.
Yes Mark, I want to find all the points a and b so that the integral takes the value 1 or another.Mark44 said:It's not clear to me what you're trying to do. Are you trying to solve for a and b so that ##\int_a^b f(x)dx = 1##?
I doubt very much that this is possible. For a given function f, there could be an infinite number of (a, b) pairs of numbers for which ##\int_a^b f(x)dx = 1##.dabo said:Yes Mark, I want to find all the points a and b so that the integral takes the value 1 or another.
I still think you're out of luck. As far as I know, NIntegrate is not implemented to do what you want it to do.dabo said:I have some constrictions both a and b must be positive and they are in some range.