Question: Finding the integration limit of a very hard integral

Hello,

I have defined an expression f. This expression f, when integrated from 18 to b, is equal to 20. My goal is to find this b value. Since the integral is very hard to solve symbolically. This is what I did:

 

with(Student[Calculus1]);
ApproximateInt(f, t = 18 .. b, method = simpson);

by trying some random numbers v, I have found the approximate value of b.

 

I want to write something that tries values automatically and stops when the absolute value of
ApproximateInt(f, t = 18 .. b, method = simpson) minus 20 is equal to, let's say 0.5

How would I do that? I know nothing about programmation
 

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