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Math Help - Finding Riemann Integrable Function - Please help!

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    Finding Riemann Integrable Function - Please help!

    I need to give an example of a function f:[a,b]\rightarrow\mathbb{R} that is in R[c,b] for every c\in (a,b) but which is not in R[a,b]

    Not even sure how to start....
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by CrazyCat87 View Post
    I need to give an example of a function f:[a,b]\rightarrow\mathbb{R} that is in R[c,b] for every c\in (a,b) but which is not in R[a,b]

    Not even sure how to start....
    How about f(x)=\begin{cases} \frac{1}{x} & \mbox{if}\quad x>0 \\ 0 & \mbox{if} \quad x=0\end{cases}?
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