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

Integrate the upper curve minus the lower curve.

A = $\int_{x_1}^{x_2} y \, dx$.

$A_1 = 1/3$.

$A_2 = 1/4$, found by $A_2 = \int_0^1 x^3 dx$.

Integrate: $A = \int(x^2 - x^3) dx$ from $0$ to $1$.

$A = \int_{y_1}^{y_2} x \, dy$.

Use $\int_0^a x^2 dx = \frac{1}{3}a^3$.

Use the integration bounds $y1$ and $y2$ for evaluation.

Add areas of separate regions together.

Use separate integrals for each curve involved.