The discussion centers on solving the equation NIntegrate[f[x], {x, a, b}] == 1, where the function f does not have an analytic solution. Participants highlight the challenge of finding pairs (a, b) that satisfy the integral condition, noting that there could be an infinite number of solutions under certain constraints. It is emphasized that NIntegrate in Mathematica is not designed to directly solve for a and b in this context, and providing a complete definition of the function f along with specific constraints is crucial for further assistance.
PREREQUISITESMathematicians, researchers in numerical analysis, and anyone working with Mathematica who needs to solve complex integral equations without analytic 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.