Integrals: Boundaries and Infinity
(a)Let f:[a,b] ---R be continuous and f(x)>= 0 for all x an element of [a,b]. prove that if the integral between the boundaries b and a of f(x) dx =0 then f(x) =0 for all x an element of [a,b]
(b)Prove that the integral between infinity and 0 of e^-st .sinat dt = a/s^2 + a^2© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/calculus-and-analysis/integrals-boundaries-and-infinity-2sh
...e the minimum and maximum values of f on (a,b), respectively.
m<=f(x)<=M, then and given that . So,