The ratio of integrals(adsbygoogle = window.adsbygoogle || []).push({});

∫〖a(x) b(x)dx〗/ ∫c(x) b(x)dx

can be maximized by choosing b(x) equal to the delta function at the point where a(x)/c(x) is a maximum.

Can anyone provide the solution for choosing b(x) when b(x) cannot equal the delta function, b(x) is greater than zero with a maximum value of C, and a(x) and c(x) are both positive over the integration interval and also monotonically increasing?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Problem Involving Maximizing the Ratio of Integrals

**Physics Forums | Science Articles, Homework Help, Discussion**