Find value of unknown const that causes integral to equal some value
- To: mathgroup at smc.vnet.net
- Subject: [mg110289] Find value of unknown const that causes integral to equal some value
- From: Jason Quinn <jason.lee.quinn at gmail.com>
- Date: Sat, 12 Jun 2010 05:30:49 -0400 (EDT)
Suppose I have an expression of the form 1/2 = int_0^1 besselI[0,x*t] dt and I want to find the value of "x" that will make the integral true. Can Mathematica handle such situations? I've tried all the main suspects that I get warnings that the expression depends on x in a non- algebraic way. The numerical tasks do not seem to work either. The expression above is just a made-up example, but in general, what do to when you are trying to solve equations of this type? I could certainly write a function that find the value iteratively myself, but I'd be surprised if such a thing doesn't already exist. Cheers, Jason PS I've tried Wolfram Alpha and solve 1 = int besselI0(x*t) from t=0 to 1 fails but solve 1/2 = int erf(x*t) from t=0 to 1 works.