Need help with integral pls.

mbbx5va2 · #1 $Old$ 11-17-2008, 03:19 PM

Hi, the integral is: int(f(s))dx integrating from 0 to x. Also x belongs to [0,1]. No information is given about s.

Any help would be much appreciated. thanks

Unco · #2 $Old$ 11-17-2008, 11:33 PM

Hi mbbx5va2,

You appear to have a dependent limit; do you mean $\int_0^x f(s) \, \text{ds}$ ? In that case, you need to be more specific about your instructions: the integral cannot be "evaluated" without further information. Perhaps you are to find its derivative with respect to x? In that case (and assuming f is continuous on [0,1]), apply the Fundamental Theorem of Calculus (Google it if you've forgotten!).

mbbx5va2 · #3 $Old$ 11-18-2008, 05:57 AM

Hi, thanks for the reply. f is continuous on [0,1]. Sure if the s in the integral was an x then one can use the fundamental theorem of calculus. However, the question definitely states that f is a function of s integrating with respect to dx. This is only one part of the whole problem but i may have to post it on the advanced math section since the whole problem involves operators and lebesgue spaces. thank