Area Under a Curve (Edexcel A-Level Mathematics): Flashcards

It represents the total accumulation of a quantity.

Use the definite integral: $\int_a^b f(x) dx$.

The integral gives the total area above the $x$-axis.

It indicates the area below the $x$-axis.

Net area = positive area - negative area.

Identify $f(x)$ and the interval $[a, b]$.

The Fundamental Theorem of Calculus.

Area = $\int_a^b (f(x) - g(x)) dx$.

Take the absolute value of the integral.

Area = $2$ square units ($\int_0^\pi \sin(x) dx$).