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.
A "no analytic solution" refers to a mathematical equation that cannot be solved using traditional algebraic methods, such as factoring or using the quadratic formula. In other words, there is no simple, closed-form solution to the equation.
Symbolic integration is a method of finding the antiderivative of a function. It involves finding a function whose derivative is equal to the given function. This is often done using techniques such as substitution, integration by parts, and trigonometric identities.
Equations with no analytic solution are difficult to solve because there is no single, definitive method that can be used to find a solution. It often requires a combination of techniques and may involve trial and error to find an approximate solution.
Yes, computer software can be used to solve equations with no analytic solution. Many mathematical software programs such as Mathematica, Maple, and MATLAB have built-in functions for finding numerical solutions to these types of equations.
Yes, there are many real-world applications for equations with no analytic solution. They are often used in fields such as physics, engineering, and economics to model complex systems and phenomena that cannot be described by simple, closed-form equations.