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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.
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