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I am faced with an expression of the form: $\frac{F(x)}{(1+x)G(x)}=y(\theta).$ Given some set of parameters $\theta$, I can easily compute $y$. The functionals $F(x)$ and $G(x)$ are integrals of functions $f(x')$ and $g(x')$ and the limits of integration depend on $x$.

I know that the left hand side is monotonically decreasing with $x$. What is the quickest way to find the value of $x$ that satisfies the equation with Python? Is there any method that doesn't require many, many guesses with a numerical integration routine?

user3517167
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    Do you need to compute this as part of a larger program? If you just want to compute a numerical integral, you're probably better off with WolframAlpha or something similar. – Nick Bailey May 23 '22 at 17:39
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    Yes. I need to compute this for many choices of $\theta$. – user3517167 May 23 '22 at 17:40

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