Assume that f and g are continuous on [a,b] and Does it necessarily follow that for all ?
Follow Math Help Forum on Facebook and Google+
No Take for instance f(x) = 1/2 and g(x) = x over [-1,1]
No, put and for But (At least not always.) (Anyway, the converse is true.)
The converse is not true however. Similar to the graph given by running-gag, when integrated, gives 2. when integrated over the same interval gives but
View Tag Cloud