Integration 1 (AQA A-Level Further Maths): Flashcards

$\frac{1}{b-a}\int_a^b f(x)\,dx$

Rectangle with same area as region under curve

Forgetting to divide by $(b-a)$

$\frac{1}{t_2-t_1}\int_{t_1}^{t_2} v(t)\,dt$

$\frac{v(t_2)-v(t_1)}{t_2-t_1}$

Average height of function over interval

Simplify the function

Convert to index/power form

Interval width $(b-a)$

Rectangle with same area as region under curve