(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© BrainMass Inc. brainmass.com March 4, 2021, 5:37 pm ad1c9bdddf
See the solution in the attached file.
a) Given f(x) >=0 and continuous on (a,b), hence m<=f(x)<=M, where m and M ...
There are two proofs in this solution regarding integrals. The integrals between infinity and zero are given.