Question Number 3656 by prakash jain last updated on 17/Dec/15

Answered by Filup last updated on 18/Dec/15

Commented by 123456 last updated on 18/Dec/15

Commented by prakash jain last updated on 18/Dec/15

Commented by Filup last updated on 19/Dec/15

Commented by Rasheed Soomro last updated on 19/Dec/15

Commented by 123456 last updated on 19/Dec/15
![f:[0,1]→R given by f(x)= { (1,(x∈Q)),(x,(x∉Q)) :} if you plot f, it must be two line since Q and I are denses into R, this function is not riemann integrable, however its lesbegue integrable (if im dont wrong I was a 0 lesbegue measure, so the integral may return 1 over [0,1])](https://www.tinkutara.com/question/Q3733.png)