Definite Integration (Edexcel A-Level Mathematics): Flashcards

It calculates the area under a curve over a specific interval.

It's denoted as $\int_a^b f(x) dx$.

It represents the area between the curve and $x$-axis.

It yields a specific numerical value representing net area.

It links the process of differentiation and integration.

It represents the net area from $x = a$ to $x = b$.

The integral of the absolute value of $f(x)$ indicates total area.

$\int_a^b [f(x) + g(x)] dx = \int_a^b f(x) dx + \int_a^b g(x) dx$.

Use limits as bounds approach infinity or discontinuities.

Definite integrals are used to find area under curves.