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

$\int_a^b f(x) \, dx$

Net area between curve and $x$-axis over $[a,b]$

Total area under curve above $x$-axis

Negative of area (curve below $x$-axis)

Positive area minus negative area

$F(b) - F(a)$ where $F(x)$ is antiderivative

$\left|\int_a^b f(x) \, dx\right|$ (take absolute value)

$\int_a^b [f(x) - g(x)] \, dx$

Integrate sections separately, use absolute values

Magnitude/distance from $0$