Area between 2 curves (AQA A-Level Mathematics): Flashcards

Find area under upper curve minus area under lower curve between the limits (or integrate their difference)

Integrate the difference $(f(x) - g(x))$ directly in one step

$\int_{x_1}^{x_2} y \, dx$

$\int_{y_1}^{y_2} x \, dy$

Rearrange equation to form $x = f(y)$

Use $y$-limits, not $x$-limits

$x$ (not $y$)

$x = \sqrt{y}$

$\frac{1}{12}$

Calculate each region separately and add them together