- #1
Togli
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It is basically an integration that cannot be properly solved, so I look for an approximation or maximum&minimum bounds of f1(m) and f2(m) such that f1(m) < f(m) < f2(m).
Here is the integral: f(m) = Integrate [ exp( -0.5* (sin(x)^2) *m) dx, x=0:pi/2] where m is a variable.
When I take sinx ~ x when x is close to 0, it becomes Integrate[exp(-0.5x^2)], but the solution to that is "error function" having a closed form.
So can anyone suggest a "good" approximation (or minimum/maximum bounds) to f(m)? Thank you.
Here is the integral: f(m) = Integrate [ exp( -0.5* (sin(x)^2) *m) dx, x=0:pi/2] where m is a variable.
When I take sinx ~ x when x is close to 0, it becomes Integrate[exp(-0.5x^2)], but the solution to that is "error function" having a closed form.
So can anyone suggest a "good" approximation (or minimum/maximum bounds) to f(m)? Thank you.