Consider the polynomial curve on the interval .

MATHEMATICS · Multi-part · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Consider the polynomial curve

y=x^{3}-6x^{2}+11x-6

on the interval

0\le x\le 4

. (i) Find all values of

x

in this interval where the curve intersects the x-axis. (ii) Hence, determine the area enclosed between the curve and the x-axis on

[0,4]