Mean Value of a Function (Edexcel A-Level Further Mathematics): Flashcards

Average value of $f(x)$ across all points in interval

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

Total area under the curve

Length of the interval

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

$\frac{13}{3}$

$\frac{2}{\pi}$

Forgetting to divide by $(b-a)$

$-\cos x + C$

$e^x + C$