Evaluate the average value of the function p(x)= cases 1, & 0 x<1, 3, & x=1, 1+(x-1)^…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Evaluate the average value of the function

p(x)=\begin{cases} 1, & 0\le x<1,\\ 3, & x=1,\\ 1+(x-1)^{2}, & 1< x\le 3 \end{cases}

on the interval

[0,3]