By extending the ideas that lead to the idea of Riemann Sums allows us to interpret a definite integral as the “Area Under the Curve.” If the integrated \(f(x)\) is above the x-axis then the area is positive, whereas, if \(f(x)\) is below the x-axis then the area is negative.
\(\texttt{Area Under The Curve}=\displaystyle\int_a^b f(x) dx \)
