Category:Definite Integral is Area

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This category contains pages concerning Definite Integral is Area:


Let $f : \closedint a b \to \R$ be Darboux integrable over $\closedint a b$.

Let $A$ be the total signed area between $\map f x$ and the $x$-axis, and between the lines $x = a$ and $x = b$.

Then $A$ equals the Darboux integral of $f$ over $\closedint a b$.

Pages in category "Definite Integral is Area"

The following 2 pages are in this category, out of 2 total.