# Integrals

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(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

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#### Solution Summary

This shows how to find the integral of a given function, and shows a proof of non-integrable functions.

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