Category:Examples of Use of Area under Curve

From ProofWiki
Jump to navigation Jump to search

This category contains examples of use of Area under Curve.

Let $f: \R \to \R$ be a real function which is defined and (Darboux) integrable on the closed interval $\closedint a b$.

Consider the graph of $f$ embedded in a Cartesian plane.

Let $\AA$ denote the area between the curve $\map f x$, the straight lines $x = a$ and $x = b$, and the $x$-axis.


Then:

$\AA = \ds \int_a^b \map f x \rd x$

where $\ds \int_a^b \map f x \rd x$ denotes the (Darboux) definite integral of $f$ from $a$ to $b$.

Pages in category "Examples of Use of Area under Curve"

The following 3 pages are in this category, out of 3 total.