Possible Duplicate:
examples of measurable functions on $\mathbb{R}$
Is there a measurable function $g:\mathbb{R} \to \mathbb{R} ^{+}$ such that $\int_{[a,b]}g dx=\infty$ $\forall a\neq b \in\mathbb{R}$ .
Possible Duplicate:
examples of measurable functions on $\mathbb{R}$
Is there a measurable function $g:\mathbb{R} \to \mathbb{R} ^{+}$ such that $\int_{[a,b]}g dx=\infty$ $\forall a\neq b \in\mathbb{R}$ .