Integrals

(a)Find the integral between 0 and infinity
e^-st. sinat dt

(b)Let f:[0,1] --> R be the function

f(x) = { x when x is an element of rational numbers
{-x when x is not an element of rational numbers

Prove in detail that f is not integrable on [0,1] but |f| is integrable

© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/calculus-and-analysis/integrals-2tt