|May16-06, 10:09 AM||#1|
General feature of Newton Integral
I need a help with responding one question from my calculus classes...
Lef f: [0, + infin.) ---> R be a continuous function and let exist the finite Newton integral of f(x) dx from 0 to +infinity. Itīs neccesary that f is bounded?
Thanks for any help.
|May16-06, 03:23 PM||#2|
I'm not sure what you mean by "the finite Newton integral". Do you mean to assert that the Riemann integral is finite?
|May18-06, 10:03 AM||#3|
By Newton Integral I mean the integral of f(x) dx from a to b defined as follows, let F be a primtive function to f then the discussed integral is equal to F(b) - F(a) or [lim (x --> b-) F(x) - lim (x --> a+) F(x)] and the Riemanns definition of integral is based on the areas in the graph. So the task demands to proof it only from the Newton's definition.
|Similar Threads for: General feature of Newton Integral|
|integral more general then Lebesgue integral?||Calculus||7|
|General Integral rules||Precalculus Mathematics Homework||12|
|Newton & Riemann integral||Calculus||3|
|Newton Third Law general equation||Introductory Physics Homework||7|
|Finding the general integral||Calculus & Beyond Homework||6|