Home » Blog » Compute the average value of the function on the interval

Compute the average value of the function on the interval

Compute the average value of

    \[ f(x) = x^2+x^3, \qquad 0 \leq x \leq 1. \]


We compute the average A(f),

    \[ A(f) = \frac{1}{1-0} \int_0^1 (x^2+x^3) \, dx = \frac{1}{3}+\frac{1}{4} = \frac{7}{12}. \]

Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):