# Reverse integrals

Tags: integrals, reverse
 P: 343 I need to find a function f(x) such that $$\int_{-\infty}^{100+10n} (f(x)) dx = 1-0.1^n$$ for n=1,2,3,4,5,6...∞. How would I go about this? It must be exponential in some way I'm guessing? This is not a homework problem. I don't just want the answer. I want guidance on this type of problem and function, but please from someone with an idea of how to answer this particular case too ...