Let f : [a, b] -> R be a positive continuous function, i.e., f(x) >= 0 for all x in [a, b].
I want to show that the function F : [a, b] -> R defined as F(x) = integral of f with limits x and a, for x in [a, b] is monotone increasing (i.e., F(x) >= F(y) if x >= y).
any ideas? thankz
With this question that i posted i denoted F(x) = integral of f with upper limit x and lower limt alpha, but you have added (t) as in f(t), where as iv just wrote f, so i think it might be an riemann integra....does this affect the ansower of the question to what you have done?
Originally Posted by ThePerfectHacker