Area between a curve and a line (Edexcel A-Level Mathematics): Quizzes

Find the points of intersection

Solve $f(x) = g(x)$

$\int_a^b |f(x) - g(x)| dx$

If $f(x) \geq g(x)$ over the interval

Split the integral at crossing points

$x = -1$ and $x = 2$

$(x - 2)(x + 1) = 0$

$x + 2$ is larger than $x^2$

$\frac{9}{2}$ or $4.5$ square units

$\frac{x^2}{2} + 2x - \frac{x^3}{3} + C$